Is Marco Rubio walking away from his own immigration bill?

No way, the Florida Republican senator told reporters on Thursday, promising to throw himself into passage of a compromise overhaul bill that he crafted with seven colleagues while also demanding “improvements” that spell out a border-security plan.

“I’m working as hard today on immigration reform as I ever have,” Rubio said. “That’s what I’m committed to trying to accomplish, and that’s what I’m spending all of my time on, figuring out how we can get a bill that passes the Senate and serves as a starting point to get it passed in the House as well.

“I won’t abandon this issue until it’s done, until we get a bill passed.”