House Speaker John Boehner (R-Ohio) (Alex Wong/Getty Images)

If immigration reform is to pass through the House, House Speaker John Boehner (R-Ohio) may very well have to break the Hastert Rule.

But before the bill can even pass through the Senate, top conservative groups are putting pressure on Boehner to stick to the rule, which prevents legislation from coming to a vote unless a majority of the majority party (Republicans in the House) support it.