UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

SCHEDULE 13D

Under the Securities Exchange Act of 1934

Amendment No. 6

(Name of Issuer)

(Title of Class of Securities)

(CUSIP Number)

(Name, Address and Telephone Number of Person Authorized to Receive Notices and Communications)

(Date of Event which Requires Filing of this Statement)

If the filing person has previously filed a statement on Schedule 13G to report the acquisition which is the subject of this Schedule 13D, and is filing this schedule because of §§240-13d-1(e), (f) or (g), check the following box  ¨

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CUSIP No. 23334L102

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CUSIP No. 23334L102

Introductory Note:

This Amendment No. 6 to Schedule 13D amends and restates in its entirety that certain Schedule 13D filed on December 28, 2007, as amended from time to time, by Jay L. Schottenstein, with respect to the Class A Common Shares, without par value (the “Class A Common Shares”), of DSW, Inc., an Ohio corporation (the “Company”).

This Amendment No. 6 to Schedule 13D is filed with respect to the Class A Common Shares, but also relates to the Class B Common Shares without par value (the “Class B Common Shares”), of the Company that may be converted on a one-for-one basis into Class A Common Shares at any time. The Company’s principal executive offices are located at 810 DSW Drive, Columbus, Ohio 43219.

See Item 4.

SEI, Inc. (“SEI”) is a Nevada corporation, of which Jay L. Schottenstein is a director, Chairman of the Board, Chief Executive Officer and President and of which 79.61% of the issued and outstanding common stock is currently owned by trusts of which Mr. Schottenstein is a Trustee. On September 16, 2011, SEI redeemed shares of its common stock from certain of its shareholders and in exchange distributed 598,613 Class A Common Shares and 1,204,473 Class B Common Shares to such shareholders (collectively, the “Distributed SEI Shares”). The transaction discussed in this paragraph is referred to herein as the “SEI Redemption”).

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CUSIP No. 23334L102

Schottenstein RVI, LLC (“Schottenstein RVI”) is a Delaware limited liability company, of which Mr. Schottenstein is the manager. On September 16, 2011, Schottenstein RVI redeemed membership units from certain of its members and in exchange distributed 3,536,811 Class B Common Shares (the “Distributed Schottenstein RVI Shares”) and DSW Class B Warrants (the “Distributed Class B Warrants”) to purchase 341,222 Class B Common Shares (the “Distributed Warrant Shares”) to such members. The transaction discussed in this paragraph is referred to herein as the “Schottenstein RVI Redemption”).

On September 16, 2011, Mr. Schottenstein entered into a Voting and Stockholder Agreement (the “Voting Agreement”) with Ann S. Deshe, Susan S. Diamond, certain of their spouses, lineal descendants, and affiliates (collectively, the “Deshe/Diamond Affiliates”), and the other parties named therein, which Voting Agreement is set forth as Exhibit 5 hereto. Under the Voting Agreement, Mr. Schottenstein was granted an irrevocable proxy to vote the Distributed SEI Shares, the Distributed Schottenstein RVI Shares, and the Distributed Warrant Shares issuable upon exercise of the DSW Class B Warrants that are held by the Deshe/Diamond Affiliates.

As a result of the Voting Agreement, SEI Redemption and Schottenstein RVI Redemption, Mr. Schottenstein now has sole voting power over the Distributed SEI Shares, the Distributed Schottenstein RVI Shares, and the Distributed Warrant Shares; however, Mr. Schottenstein no longer has any dispositive power over the Distributed SEI Shares, the Distributed Schottenstein RVI Shares, and the Distributed Warrant Shares.

Mr. Schottenstein evaluates each of his investments, including the Company and the Class A Common Shares, on an ongoing basis, based upon various factors, criteria and alternatives including those noted below. Based on current circumstances and such ongoing evaluation Mr. Schottenstein may, from time to time, acquire additional Class A Common Shares, continue to own Class A Common Shares or dispose of Class A Common Shares at any time, in the open market or otherwise, and may take actions which could involve any of the items enumerated in the Schedule 13D instructions to this Item 4. Mr. Schottenstein reserves the right, based on all relevant factors and circumstances, to change his investment intent with respect to the Company and the Class A Common Shares at any time in the future, and to change his intent with respect to any or all of the matters referred to in this Schedule 13D, including any of the items enumerated in the Schedule 13D instructions to this Item 4. In reaching any conclusion as to his future course of action, Mr. Schottenstein will take into consideration various factors, criteria and alternatives, including, but not limited to, the Company’s business and prospects, other developments concerning the business and management of the Company, its competitors and the industry in which it operates, other business and investment opportunities available to Mr. Schottenstein, any contractual obligations to which Mr. Schottenstein is now or may in the future become subject, including in respect of the financing of his ownership of the Class A Common Shares or otherwise relating to his investment in the Company or otherwise, and general economic and stock market conditions, including, but not limited to, the market price of the Class A Common Shares and other investment alternatives. From time to time Mr. Schottenstein may enter into discussions with the Company and/or third parties, concerning his holdings of the Class A Common Shares and possible future extraordinary transactions involving Mr. Schottenstein and the Company and such third persons. There can be no assurance as to whether Mr. Schottenstein will take any action with respect to his ownership of the Class A Common Shares, take action with respect to any of the items enumerated in the Schedule 13D instructions to this Item 4, including entering into any discussions with the Company or with any third parties with respect to the Class A Common Shares or the Company, nor as to the outcome of any such matters, including as to whether any discussions if entered into will lead to any transaction that might be considered or agreed to by any third party, the Company or Mr. Schottenstein, the terms of any transaction, or the timing or certainty of any transaction.

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CUSIP No. 23334L102

The information set forth and incorporated by reference in Items 3 and 4 is incorporated by reference herein.

Included in the aggregate number of Class A Common Shares that Mr. Schottenstein beneficially owns are the following Class B Common Shares that may be converted into Class A Common Shares on a one-for-one basis at any time:

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CUSIP No. 23334L102

Mr. Schottenstein has sole power to vote and dispose of 100 Class A Common Shares held by various trusts of which he is the Trustee; 206,617 Class A Common Shares that Mr. Schottenstein has a right to purchase within 60 days of May 29, 2012 and 71,905 Class B Common Shares that Mr. Schottenstein holds directly.

Mr. Schottenstein is a director, Chairman of the Board, Chief Executive Officer and President of SEI, 79.61% of whose common stock is owned by trusts of which Mr. Schottenstein is a Trustee, and shares the power to vote and dispose of 993,092 Class B Common Shares beneficially owned by SEI.

Mr. Schottenstein is the manager of Schottenstein RVI and has shared power to vote and dispose of 4,291,995 Class B Common Shares beneficially owned by Schottenstein RVI.

Mr. Schottenstein acts as co-trustee of the Jerome Schottenstein Fund A Revocable Trust and has shared power to vote and dispose of 13,050 Class A Common Shares beneficially owned by the Jerome Schottenstein Fund A Revocable Trust.

Pursuant to the Voting Agreement, Mr. Schottenstein has the sole power to vote an aggregate of 513,987 Class A Common Shares, 4,728,700 Class B Common Shares.

On May 30, 2012, the Deshe/Diamond Affiliates acquired 341,222 Class B Common Shares upon exercise of the New Term Warrant (as defined below).

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CUSIP No. 23334L102

The following Class B Common Shares were converted into Class A Common Shares:

The Class B Common Shares of the Company are convertible into Class A Common Shares of the Company on a one-for-one basis at any time.

An aggregate of 828,432 Class A Common Shares were sold in the open market as follows:

Term Loans and Term Warrants

On June 11, 2002, Schottenstein Stores Corporation and Cerberus Partners, L.P., a Delaware limited partnership (“Cerberus”), entered into a financing agreement and agreed to a form of warrant pursuant to which (i) Schottenstein Stores Corporation and Cerberus made available to Retail Ventures, Inc. two term loans (the “Term Loans”) each in the aggregate principal amount of $50,000,000 and (ii) Cerberus, Retail Ventures, Inc. and Schottenstein Stores Corporation agreed to a form of warrant (the “Term Warrants”) that were issued to each of Schottenstein Stores Corporation and Cerberus in connection with the extension of credit described in clause (i) above. The Term Loans were repaid in full on July 5, 2005.

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CUSIP No. 23334L102

On July 5, 2005, the Term Warrants were amended and restated to entitle Schottenstein Stores Corporation and Cerberus, respectively, to acquire directly from Retail Ventures, Inc. 1,388,752 shares of Retail Ventures, Inc. stock for $4.50 per share (subject to adjustment for anti-dilution) or 328,915 Class A Common Shares for $19 per share (subject to adjustment for anti-dilution), or a combination thereof (the “New Term Warrants”). The expiration date of the New Term Warrants is June 11, 2012.

On May 30, 2008, Schottenstein Stores Corporation contributed its New Term Warrants to Schottenstein RVI (the “New Term Warrants Transfer”). Subsequent to the transfer, Cerberus exercised warrants that triggered the anti-dilution provisions of the New Term Warrants entitling Schottenstein RVI to acquire an additional 342,708 shares of Retail Ventures, Inc. stock. Therefore, Schottenstein RVI had the right to acquire 1,731,460 shares of Retail Ventures, Inc. stock pursuant to the New Term Warrants.

On May 26, 2011, Retail Ventures, Inc. merged into DSW MS LLC, an Ohio limited liability company and a wholly owned subsidiary of DSW Inc. Upon the closing of the merger, each outstanding Retail Ventures, Inc. common share was converted into the right to receive 0.435 DSW Class A Common Shares, unless the holder properly and timely elected to receive a like amount of DSW Class B Common Shares in lieu of DSW Class A Common Shares. As a result, Schottenstein RVI’s New Term Warrants reflected the right to acquire 753,185 Class B Common Shares. Pursuant to the Schottenstein RVI Redemption, Schottenstein RVI transferred warrants to purchase 341,222 Class B Common Shares of DSW Inc. to the Deshe/Diamond Affiliates.

On March 14, 2012, Schottenstein RVI exercised its New Term Warrant and acquired 411,963 Class B Common Shares. On May 30, 2012 the Deshe/Diamond Affiliates exercised their New Term Warrant and acquired 341,222 Class B Common Shares.

The descriptions of the transactions and agreements set forth in this Schedule 13D are qualified in their entirety by reference to the complete agreements governing such matters, each of which are incorporated by reference or attached to this Schedule 13D as exhibits pursuant to Item 7.

Except as described herein, no contracts, arrangements, understandings or similar relationships exist with respect to the securities of the Company between Jay L. Schottenstein and any person or entity.

Voting Agreement

The information set forth and incorporated by reference in Items 4 and 5 with respect to the Voting Agreement is incorporated by reference herein.

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CUSIP No. 23334L102

The following exhibits are incorporated by reference and deemed filed with this schedule:

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SIGNATURE

After reasonable inquiry and to the best of my knowledge and belief, I certify that the information set forth in this statement is true, complete and correct.