Jeb Bush said he wouldn't ban Syrian refugees from entering the United States, separating himself from most Republican governors and his party's presidential field as he pitched himself as the most experienced candidate running for the nomination.

"The answer to this is not to ban people from coming," Bush said Tuesday in an interview with Mark Halperin and John Heilemann for Bloomberg Politics' With All Due Respect. "The answer is to lead, to resolve the problem in Syria."

Attacks in Paris on Friday that killed or injured roughly 500 people have become a political issue in the race for the Republican presidential nomination, as candidates call for the U.S. government to shut the doors to Syrian refugees, saying terrorists might infiltrate the ranks of the displaced. More than 20 Republican governors are seeking to halt the flow of Syrian refugees to their states.