CNN

WASHINGTON (CNN) - After the term "Rudy McRomney" was coined to lump together the three Republican presidential front-runners, former Virginia Gov. Jim Gilmore ran with it in Tuesday's debate.

But what if former Sen. Fred Thompson joins the race? Is "Rudy McRomneyson" next?

Rudy Giuliani, John McCain, and Mitt Romney have been leading in most political polls among the 10 major GOP candidates.

"Well, we've gotten a little mileage out of 'Rudy McRomney,' " Gilmore said. "I know the mayor [Giuliani] once said it would make a good ticket and it would. But it isn't a conservative ticket. And we don't know what Fred Thompson is, either."

–CNN Associate Producer Lauren Kornreich