Sen. John Kerry, D-Mass., his 12-percentage-point advantage was the slimmest since February in any polls commissioned by The Oklahoman or NEWS 9.
Kerry gained 16 percentage points among Carson supporters, Wilson noted. Bush's lead in Monday's poll was still more than double the poll's margin of error.
"Bush's lead is not in danger," Wilson said. "Of the 12 percent that's undecided, you will probably still see it break two-to-one for Bush."
Monday's survey is the sixth of nine polls leading up to Election Day on Nov. 2. The telephone poll, taken from Friday through Sunday, questioned 500 registered Oklahoma voters who are likely to cast a ballot.
While all the state questions had a lead doubling the poll's margin of error, support for a state amendment outlawing gay marriage tumbled by about 12 percentage points.
In Monday's poll, 59 percent said they would vote for the amendment and 35 percent said they planned to vote no. Last week, about 71 percent of those polled favored such an amendment.
Oklahomans also continued to support state questions that would legalize new electronic gambling machines at horse race tracks and tribal casinos, establishing a lottery and imposing a new cigarette tax.