Peters leads Land by 38 percent to 37 percent, according to the poll conducted by Michigan-based EPIC-MRA.

Most observers believe Peters is in a stronger position in the race — Democrats have united around him and his fundraising has been strong, while some Republicans are still holding out hope for another candidate to jump in against Land and she's gotten off to a somewhat slow start in her campaign. But the poll indicates neither is very well-known at this point in Michigan, a swing state in non-presidential years.

The poll of 600 likely voters was conducted from Sept. 7-10 and has a margin of error of plus or minus 4 percentage points.