Former Sen. George Allen (R-Va.) is favored by Republicans in his state as their 2012 Senate nominee.

A Public Policy poll released Thursday shows Allen leading among Republican primary voters with 46 percent of support. Republicans next choice for their nominee was incoming House Majority Leader Eric Cantor (R-Va.), who captured 18 percent. And 16 percent was taken by Virginia Attorney General Ken Cuccinelli.

Among conservatives, Allen leads Cantor by a 47 percent to 18 percent margin.  He leads Cantor by 23 points among moderates, 43 percent to 20 percent.

If he runs and wins, Allen would be retaking the seat he lost to Sen. Jim Webb (D-Va.) in 2006. Webb won with 53.5 percent of the vote to Miller's 46.5 percent.

There has been speculation Webb may not run for reelection. The state has trended red, despite President Obama carrying it in 2008. And three House Democrats lost their seats this year. Democrats also lost the gubernatorial mansion in 2009.

The senator hasn't made an announcement about his 2012 plans.  He told Real Clear Politics earlier this month: "Still sorting that out. I'm not saying I'm not."

A Wednesday poll from PPP showed Webb leading Allen 49-45 in a hypothetical matchup. The poll also found that Tim Kaine, the former governor who now heads the Democratic National Committee, did better in a head-to-head matchup with Allen: leading Allen 50-44.

Many remember Allen for the “macaca moment,” in which he used what is considered to be a racial slur against a volunteer of Webb’s campaign. Allen was criticized by many for his poor judgment and later apologized. He claimed he did not know the true meaning of the word and did not intend to offend anyone.

Allen has been making the GOP rounds in Virginia, fueling speculation he'll run again, but he has not made a formal announcement.