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."