Rep. Tom Cole (R-Okla.), a top ally of House Speaker John Boehner (R-Ohio), said Sunday that Boehner should not bring the Senate's immigration bill up for a vote and that it likely wouldn't pass even if he did.

Cole said that Boehner shouldn't break the so-called "Hastert Rule" to do so. Cole noted that Boehner has broken the rule -- which requires anything being voted on in the House to have the support of a majority of the majority party -- multiple times before even though he didn't have to.

“No it’s not (going to get a vote), and it shouldn’t," Cole said on ABC's "This Week." "Frankly, I don’t think there are enough people that would vote for it. And second, we never seem to get anything out of the Senate that a majority of the Republicans voted for and only a minority of the Democrats. This idea that we’re going to constantly (break the Hastert Rule) -- we’ve done it three times. I think we’ve been more than fair in this."

The Senate immigration bill would need the support of 17 out of 234 House Republicans if every Democrat supported it. In the Senate, 14 out of 46 Republicans voted for it.