A new poll Monday found Rick Santorum and Mitt Romney are running neck-and-neck in Michigan in spite of Santorum's weak debate performance in Arizona last week.

The Mitchell Research/Rosetta Stone poll found the two GOP hopefuls are essentially in a statistical dead heat going into Tuesday's primary in Michigan with about 37 percent of respondents in favor of Santorum, compared to Romney's 35 percent. The poll, which surveyed 858 Republican primary voters, had a margin of error of 3 percentage points, according to Reuters.

While the race in Michigan could go either way, polls indicate Romney is headed for an overwhelming victory in Arizona, which will also hold its primary on Tuesday.

A victory for Romney in his home state of Michigan could help recharge a campaign that has seemed to stall in recent weeks.

Several other recent polls confirm the Michigan race is a toss-up between the two candidates. The conservative polling outlet Rasmussen reported on Monday that 38 percent of likely voters favored Romney, followed by Santorum at 36 percent, U.S. Rep. Ron Paul, R-Texas, at 11 percent and Newt Gingrich at 10 percent.

In a Rasmussen poll Friday, Romney held a 6-point lead over Santorum, edging him 40 percent compared to 34 percent.

Meanwhile, a Public Policy Polling survey on Sunday echoed similar results, with Romney leading at 39 percent, followed by Santorum at 37 percent in Michigan. In Arizona, a Public Policy poll on Friday said the former Massachusetts governor is leading that state with 43 percent of the vote, followed by Santorum at 26 percent, Gingrich at 18 percent and Paul at 11 percent.