Senator David Vitter believes Mitt Romney missed a "huge opportunity" Tuesday night to press the president on his handling of the September attack on the U.S. Consulate in Benghazi, Libya, which killed the U.S. Ambassador and three other Americans.

Romney accused Obama of taking too long to refer to the attack as a terrorist strike, and of turning too quickly to politics after the tragedy. Obama later pointed out that he referred to "acts of terror" in an address from the Rose Garden the very next day.

But Vitter says Obama did not specifically say the attack in Benghazi was a terrorist action.

"He (Romney) had a huge opportunity when the president was trying to suggest and mislead people that the day after the horrible attack he labeled the incident as a terrorist attack which he clearly didn't," Vitter said Wednesday. 

Vitter says he believes the issue should be raised again in the third and final debate on Monday night in Florida.

The Senator told Denny Schaffer he thought the second debate Tuesday night was "a very close debate, it wasn't like the first performance when the president didn't even show up."   But he added "I don't think it changed any minds."

Vitter says he thinks the momentum of the race will continue to move toward Romney.