Giuliani, who was a candidate in the last presidential cycle, is also considering another bid, but an adviser tells CNN that the former New York City mayor is not taking active steps toward getting in the race other than making recent appearances in New Hampshire, which holds the first primary on the road to the White House.

“Giuliani has the top spot in a 12-candidate field, but he doesn’t generate a lot of enthusiasm. Only about a quarter of Republicans nationwide said that they would be enthusiastic if Giuliani won the nomination,” said CNN Polling Director Keating Holland. “But he’s not alone – only a quarter would be enthusiastic if Palin got the party’s nod, and only one in five would feel the same way if Romney became the GOP’s standard bearer in 2012.”

Just one point behind Palin in the survey is Rep. Ron Paul of Texas, who is making his third bid for the presidency.