On Wednesday, Buckhorn said he would have no problem postponing or canceling the event, if need be.

“Obviously, public safety is going to trump politics. If we had to make that decision to cancel or to postpone or to move the convention, we will do that,” he said on CNN on Wednesday.

The National Hurricane Center predicted Thursday that Tampa has a 15 percent chance of receiving tropical-storm-force winds on Monday. Hurricane force winds are less likely, with a 1 percent chance.

Tropical Storm Isaac is expected to approach the Florida coast on Monday. The storm's path remains uncertain, but a Weather Channel analysis on Thursday said "confidence is high" that Isaac will eventually affect the United States. 

The convention is expected to attract more than 50,000 people into Tampa starting Monday and running through Thursday. Buckhorn said that the increased number of buses already in the city to shuttle convention-goers around could double as transportation in the event of an evacuation.

“Bear in mind … that there will be 400 buses that will be deployed here to move the delegations anyway,” Buckhorn said. “So if we ever got to that circumstance I think we could handle it.”

Florida and Republican convention officials have expressed concern over Tropical Storm Isaac, but expressed confidence in contingency plans that state and convention officials have put in place.