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By CNN chief Washington correspondent Jake Tapper and Sherisse Pham
(CNN) - Congressional negotiators reached a bipartisan budget compromise on Tuesday that would prevent another government shutdown, if approved by the House and Senate.
House Budget Committee Chairman Paul Ryan forged the deal with his Senate counterpart, Patty Murray.
Despite criticism from Republican colleagues, and indications that Senate Minority Leader Mitch McConnell will not support it, Ryan says he is confident the budget deal will have the votes to pass.
"We will. We feel good about that, we feel good with where we are," he said in an interview with CNN's "The Lead with Jake Tapper."
"We're in the majority, we have to govern, just like Patty Murray is in the majority, and she has to govern," Ryan said of the Republican-led House.
As for criticism from fiscal conservatives, Ryan said their "vision" – balancing the budget and paying off the debt – is not going to happen in this divided government.
"Others would like us to go farther in that right direction, I don't begrudge them of that, I want to go farther in that right direction. But I think this is a step in the right direction," says Ryan.
What about 2016?
The budget compromise could hurt Ryan's standing among grassroots Republicans.
"People ask me that kind of question all the time: 'Gosh, if you compromise, isn't that going to hurt your personal political career?' said Ryan.
"If I think like that, then we're going to get nothing done," said the Wisconsin congressman. "I'm the chairman of the Budget Committee, so my colleagues have asked me to be a leader in helping solve problems."
"I'm not going to let any personal political consideration down the road cloud that judgment, because I, quite frankly, just don't think that's right," said Ryan.
For more of our interview with Paul Ryan, check out the video above.