Senate Majority Leader Harry Reid (D-Nev.) filed cloture on that resolution, S.J.Res. 20, on Thursday.
Also Thursday, the Senate confirmed dozens of administration officials aside from Gen. David Petraeus to be CIA director. Others included Ryan Crocker to be the U.S. ambassador to Afghanistan.
The House meets for a pro forma session at 10 a.m. Friday, and next returns July 5 at 1 p.m. Votes are not expected that day.
Among other things, the House is expected to begin work next week on a spending bill funding the Department of Energy and other agencies.