The Secretary shall ensure that the number of case managers in the Veterans Health Administration is sufficient to assure that every veteran who is provided a housing voucher through section 8(
o) of the United States Housing Act of 1937 (
42 U.S.C. 1437f(
o)) is assigned to, and is seen as needed by, a case manager. In the case of vouchers provided under the HUD–VASH program under section 8(
o)(19) of such Act, for purposes of the preceding sentence, the term “veteran” shall have the meaning given such term in
section 2002(b) of this title.