The survey of likely voters had a margin of error of plus or minus 3.4 percentage points, it added.
While Obama maintains commanding leads among Hispanics, young voters and women, his Republican challenger holds a strong margin of support among white voters and men, and appears to be gaining a little strength among the college educated, the Wall Street Journal reported.
The Obama camp said that the President is looking forward to the debate on Wednesday.
"He is looking forward to heading to Denver tomorrow to -- having the opportunity to speak directly to the American people to remind them of the choice in this election. That's what his focus will be during the debate tomorrow evening," campaign spokesperson Jen Psaki said.
To be held at Denver later on Wednesday, the first of the three presidential debates is been termed as a make or break moment for both the contenders before they finally face the polls on November 6.