The Marquette Law School Poll found Walker has 50 percent of the vote to 44 percent for Barrett, who is the mayor of Milwaukee. Walker led Barrett by 1 percentage point last month, the pollsters said in a written statement.
The June 5 recall appears to have captured the attention of Wisconsin voters, with only 3 percent saying they are still undecided. Walker, a Republican, may have an edge in voter turnout, since 91 percent of Republican respondents said they would cast their ballots on June 5 compared to 83 percent for Democrats and independents.
The recall vote was organized amid the uproar over moves by Walker and the Republican controlled state legislature to eliminate many collective-bargaining rights for public employees. The Marquette survey said the issue was still causing strong feelings among voters, with 50 percent saying they preferred to keep the new rules in place and 43 percent favoring a return to the previous status.
Marquette did not release information about polling methods or margin of error.
Notable deaths of 2014 [PHOTOS]