Senate Minority Leader Mitch McConnell (R-Ky.) predicted there will still be bipartisan opposition to President Obama's jobs bill next week, even after Democrats modified the bill to include a surtax on millionaires.

"Now they've modified it since the first of the week, but I predict there will still be bipartisan opposition to it when we go to vote for it next week," McConnell said Thursday on Fox News.

McConnell's comments come after Democrats changed Obama's American Jobs Act so that it includes a 5.6 percent surtax on millionaires; the original proposal called for a tax hike on American families who earn more than $250,000 a year. Besides the surtax, the bill proposes extending the payroll employee tax cut, increasing infrastructure spending, establishing a national infrastructure bank, and adding unemployment insurance benefits.

Obama has said he wants to see a vote on the bill sometime in October, and on Thursday he said the Senate would hold a vote on the legislation next week. Earlier in the week McConnell tried to bring the legislation up for a vote, but Majority Leader Harry Reid (D-Nev.) blocked the attempt with a procedural maneuver, a likely indication that Democrats did not believe there were enough votes yet to pass the bill and beat a filibuster. Democrats have voiced confidence, though, that there will be enough support in the Senate to pass the bill in October.

Republicans have criticized Democrats for hypocrisy on handling the jobs legislation, saying that Democrats have pushed for a vote on the bill and when an opportunity finally came, they suddenly were opposed to voting on it.