SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM 6-K

REPORT OF FOREIGN PRIVATE ISSUER

PURSUANT TO RULE 13a-16 OR 15d-16

OF THE SECURITIES EXCHANGE ACT OF 1934

June 16, 2020

Commission File Number 001-39007

Borr Drilling Limited

S. E. Pearman Building

2nd Floor 9 Par-la-Ville Road

Hamilton HM11

Bermuda

(Address of principal executive office)

Indicate by check mark whether the registrant files or will file annual reports under cover of Form 20-F or Form 40-F.

Form 20-F  ☒ Form 40-F  ☐

Indicate by check mark whether the registrant by furnishing the information contained in this Form is also thereby furnishing the information to the Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.

Yes  ☐ No  ☒

If ‘‘Yes’’ is marked, indicate below the file number assigned to the registrant in connection with Rule 12g3-2(b):

Exhibits

99.1	Press Release, dated June 15, 2020: Borr Drilling Files Annual Report on Form 20-F for the Year Ended December 31, 2019 with the U.S. Securities and Exchange Commission
99.2	Corporate Governance Report 2019
99.3	Borr Drilling Sustainability Report 2019

 SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

	BORR DRILLING LIMITED
Date: June 16, 2020	By:	/s/ Svend Anton Maier
	Name:	Svend Anton Maier
	Title:	Chief Executive Officer