Senate Republicans on Sunday pressed their demand that the U.S. Congress be allowed to vote on a nuclear agreement with Iran, but signaled they are willing to wait for last week's interim agreement to be finalized before passing judgment.

"Look, the president needs to sell this to the American people, and Congress needs to be involved," said Sen. Bob Corker, chairman of the Senate Foreign Relations Committee.

Corker did not condemn the framework deal reached by Iran and major powers in Switzerland on Thursday after months of negotiations, but he cited concerns over inspection provisions and differing accounts from Washington and Tehran over what was actually agreed upon.