In the latest sign of potential 2012 trouble for Sen. Orrin Hatch (R-Utah), a new poll shows Rep. Jason Chaffetz (R-Utah) deadlocked with the longtime senator among Utah Republicans. 

Chaffetz, who is still weighing a run against Hatch from the right next year, is tied with the senator at 42 percent among GOP voters in the state, according to new numbers from UtahPolicy.com. Another 15 percent remained undecided. 

The poll surveyed 348 registered Republicans and has a margin of error of plus or minus 4.8 percentage points.  

In a separate question asked of 600 registered voters in the state, the poll found 54 percent who said it was time to elect someone new to the Senate in 2012. Just 31 percent said they would vote to reelect Hatch.   

Last week, a Deseret News poll showed Chaffetz within 10 points of Hatch. While the senator held a healthy lead among those who self-identified as Republicans in that poll, he trailed Chaffetz 51-35 percent among those who identified themselves as "very conservative." 

Should Hatch face a challenge for the GOP nomination next year, the state convention process, which is dominated by more conservative party insiders, will likely prove his toughest obstacle. It was at the convention last cycle that former Sen. Bob Bennett (R-Utah) landed in third place and was unable to advance to a primary. 

If no candidate wins 60 percent or more of state delegates at the convention, the top two convention finishers head to a primary. 

It's still unclear how much Tea Party opposition Hatch could face in 2012. The longtime senator has made it a point to reach out to Tea Party activists in state and nationally, including speaking at a recent Tea Party Express town hall in Washington, D.C. The group, which backed a challenge to Bennett last cycle, has said it would carefully evaluate any challenger to Hatch should one emerge.