Sen. Marco Rubio (R-Fla.), who is perhaps the most important man in the current immigration debate, says he currently wouldn't vote for the compromise bill he helped craft.

Rubio said Tuesday that the bill must be amended to included specific enforcement procedures that will prevent another influx of illegal immigrants. Without that, he said, he will not support the bill because it wouldn't pass in the House.

"I think if those amendments don’t pass, then I think we’ve got a bill that isn’t going to become law, and I think we’re wasting our time. So the answer is no," he told conservative radio host Hugh Hewitt on Tuesday. "If they don’t pass, then we’ve got to keep working to ensure that we get to a bill that can become a law. We’re not interested in passing a Senate bill."

Rubio added that the amendments would be introduced in the coming days.

"What we’ve heard is people don’t want to just turn it over to the Department of Homeland Security to come up with [an enforcement] plan," he said. "They want the plan to be laid out specifically with real measurable [goals], and I think that that’s a good approach."

Earlier Tuesday, Rubio told Fox News Channel that the bill didn't yet have the 60 votes it needs to pass in the Senate.

Even if the bill does pass in the Senate, the House likely is much more of an obstacle, with Republicans continuing to hold a solid majority.