Diaz-Balart, a major player in the effort on Capitol Hill to produce a bipartisan overhaul of the nation’s immigration system, told CQ Roll Call Tuesday he has more supporters now than a month ago and still expects the Republican-controlled House to act before leaving town in August.

“Every day I’m getting more and more Republicans — conservatives — who are frankly approaching me saying, ‘How do we move forward?’ I feel very very confident that a majority — a strong majority — of Republicans want to finally tackle this system that everyone understands is broken — with some caveats,” he said in a phone interview. “Republicans are insisting that we take this step-by-step.”

The Miami congressman said recent attempts by Obama to facilitate the process in the House are not helpful.