Poll gives Gov. Walker a 47-45 percent edge over Democrat Mary Burke, a 47-44 percent edge over Dem. Sen. Kathleen Vinehout, about a year before the 2014 vote.
The poll's margin of error is five percentage points, so both results fall within that range.
According to the Marquette Law School Poll, the Republican governor's approval rating is 49 percent, slightly higher than 48 percent in summer.
Of the 800 people who responded to the survey, 70 percent don't know Burke - this is the first poll conducted since the businesswoman announced she will enter the gubernatorial race on the Democratic side. Vinehout has also expressed interest in running.
Burke's campaign says Tuesday's results show that Wisconsin voters are open to new leadership.
The state GOP says it is confident voters will stand by Walker. He is expected to run for re-election and also perhaps seek the presidential nomination in 2016.