“It’s clear we can’t get on the bill. We can’t offer amendments to the bill. And I think it would be pretty safe to say we’re stuck because of Democratic obstruction on the Senate side,” McConnell said.

Michael Steel, Boehner’s spokesman, said “the pressure is on Senate Democrats” who claim to oppose Obama’s immigration action but “are filibustering a bill to stop it.”

Senate Democrats and the White House are showing no signs that they are feeling any pressure.