POWER OF ATTORNEY

       The undersigned hereby makes, constitutes and appoints each of Rich Ting,
Martin Boskovich, Jeffrey Joseph, Mary Gallegly, Jessica Dombroff, Ting He,
Brian Price, Donna Choi Suh and Henry Orren as a true and lawful attorney-in-
fact with full power of substitution and resubstitution, for and in the name,
place and stead of the undersigned (in the undersigned's individual capacity, or
in any other capacity, including, without limitation, as applicable, in the
undersigned's capacity as a director, officer, principal, member or partner of
or in a limited liability company, as a partner of any partnership or as an
officer of any corporation for which the undersigned is otherwise authorized to
sign), to execute, deliver and file such forms, with all exhibits thereto,
documents, certificates, instruments, notices, statements, agreements and other
filings relating to the ownership, beneficial or otherwise, of securities of
Oaktree Specialty Lending Corporation or Oaktree Strategic Income II, Inc. or
any of their subsidiaries or affiliates as may be required to be filed from time
to time with the Securities and Exchange Commission ("SEC") with respect to: (i)
Sections 13(d), 13(f) and 16(a) of the Securities Exchange Act of 1934, as
amended (the "Exchange Act"), and the rules and regulations promulgated
thereunder, as applicable, including, without limitation, Schedule 13D, Schedule
13G, Form 13F, statements on Form 3, Form 4 and Form 5 or any amendment thereto;
(ii) any report or notice required under Rule 144 of the Securities Act of 1933,
as amended, including, without limitation, Form 144, or any amendment thereto;
and (iii) any and all other documents that may be necessary or appropriate in
connection with or in furtherance of any of the foregoing, including, without
limitation, any application for EDGAR access codes, Form ID, or any amendments
thereto, and any other documents necessary or appropriate to obtain codes and
passwords enabling the undersigned to make electronic filings with the SEC of
reports required pursuant to Section 13(d) or Section 16(a) of the Exchange Act
or any rule or regulation of the SEC, such power and authority to extend to any
form or forms adopted by the SEC in lieu of or in addition to any of the
foregoing; in each case, as determined by such attorney-in-fact to be necessary
or appropriate.

       Any such determination shall be conclusively evidenced by such attorney-
in-fact's execution, delivery, furnishing and/or filing of the applicable
document. Each such attorney-in-fact may act separately or jointly.

       All past acts of an attorney-in-fact in furtherance of the foregoing are
hereby ratified and confirmed.

       This power of attorney shall remain in effect from the date hereof until
the date revoked by the undersigned in a signed writing delivered to the
attorneys-in-fact, and this power of attorney does not revoke or replace any
other power of attorney that the undersigned has previously granted.

       IN WITNESS WHEREOF, I have executed this instrument as of the 2nd day of
December, 2021.

                             /s/ Christopher McKown
                             Name: Christopher McKown