"What I would say is, the only way to avoid a problem with conference is for the Speaker of the House to say we are not going to conference and we will not allow a vote on anything coming out of conference that resembles a vote on the Senate bill," the Kentucky lawmaker said.
Last month, Boehner said the push for immigration reform was "going pretty well" in the House, but he repeatedly emphasized he would not allow a vote on the Senate bill.
Paul also warned President Obama against taking military action in Syria without congressional approval.
"I don’t like the fact that the president thinks that he can just do what he pleases without Congressional approval on war, immigration, affordable care ... he seems to be going around the law," Paul said. "This is flat out wrong, and Congress needs to stand up and assert our authority and say to the president, 'You can’t do this. You are not a king' ".