Sens. Bob Casey and Johnny Isakson are pushing to renew the Feed the Future program.
The resolution comes after senators voted 98-1 last week on legislation that will allow them to review and vote on a final Iran nuclear deal.
But Corker and Cardin say they will try to forge a legislative path forward.
The Senate will take its first vote on Tuesday afternoon.
Sen. Tom Cotton (R-Ark.) was the only "no" vote.
A vote on final passage is expected Thursday afternoon.
GOP senators rip Patriot Act reforms as endangering security.
Jordain Carney 05/07/15 10:37 AM EDT
Corker didn't specify why the vote was being pushed until later in the afternoon.
A procedural vote on the legislation is expected at 10:30 a.m.
Senators passed the Bulletproof Vest Grant Program Reauthorization by a voice vote.