The Romney campaign has directed resources recently to some states that were previously considered safely in Obama’s column.
During a conference call with reporters Wednesday, Romney aide Russ Schriefer said Romney was "in an excellent position to win" in Michigan, Pennsylvania and Minnesota.
"Can we win all of them? Probably not," Schriefer said. "Can we win some of them? I think so."
Obama leads by 4.6 points in Pennsylvania, according to the RCP average, and by 5 points in Minnesota.
The Rasmussen survey of 750 likely voters was conducted Nov. 1 and has a 4 percentage point margin of error.