Sen. John McCain (R-Ariz.). (Menahem Kahanamenahem/AFP)

Sen. John McCain (R-Ariz.) said Sunday that the Senate is "very likely" to pass a new sanctions bill against Iran despite a deal the United States and other world powers reached to address the Islamic republic's nuclear ambitions.

"I think that it's very likely that we could have a sanctions bill, which would take effect at the end of six months if there is no result in the negotiations, is I think what it would be," McCain said on CNN's "State of the Union." 

During a Senate hearing last week, Secretary of State John Kerry defended the recent sanctions deal, which provides relief to Iran in exchange for concessions on that natoin's nuclear-development program. He urged lawmakers to hold off on new sanctions legislation, which President Obama could ultimately veto.

The House last summer already approved new sanctions on Iran’s vital oil sector.