Texas Gov. Rick Perry holds a big lead over Rep. Michele Bachmann (R-Minn.), former Massachusetts Gov. Mitt Romney and Rep. Ron Paul (R-Texas) among Republicans who support the Tea Party, according to a new Gallup poll.

Perry is backed by 34 percent of self-identified Tea Party Republicans, while Bachmann and Romney each garner the support of 14 percent. Paul is backed by 12 percent.

His advantage with this group is why Perry leads in the poll of all Republicans by a 12-point margin over Romney.

Among Republicans who don't support the Tea Party, Romney leads with 23 percent to Perry's 20 percent. The libertarian Paul actually does better with Republicans who don't support the Tea Party movement: 16 percent of those voters support him. Bachmann has little appeal outside of the Tea Party movement, according to the poll: just 6 percent of non-Tea Party Republicans support her.

The poll found that 58 percent of Republicans and Republican-leaning independents support the Tea Party movement, while 36 percent do not support it.