Funds appropriated for the construction of irrigation works authorized to be undertaken pursuant to the Federal reclamation laws (Act of June 17, 1902, 32 Stat. 388, and Acts amendatory thereof or supplementary thereto), the Act of August 11, 1939 (53 Stat. 1418), as amended [16 U.S.C. 590y et seq.], or other Acts of Congress may, insofar as such funds are available for the construction of drainage facilities and other minor items, be utilized by the Secretary of the Interior to accomplish such work by contract, by force account or, notwithstanding any other law and subject only to such reasonable terms and conditions as the Secretary shall deem appropriate for the protection of the United States, by contract entered into with the repayment organization concerned whereby said organization shall perform such work: Provided, That in the event construction work to be accomplished by any one repayment organization, pursuant to contract with the United States, exceeds a total cost of $200,000, such contract shall not be executed by the Secretary prior to the expiration of sixty calendar days (which sixty days, however, shall not include days on which either the House of Representatives or the Senate is not in session because of an adjournment of more than three days to a day certain) from the date on which it has been submitted to the Speaker of the House and the President of the Senate for reference to the appropriate Committees, except that such contract may be executed prior to expiration of such sixty days in any case in which both such Committees approve said contract and notify the Secretary in writing of such approval.