McConnell wants to wrap up immigration debate this week

Senate Majority Leader Mitch McConnellAddison (Mitch) Mitchell McConnellAir travel union leaders warn of 'unprecedented' safety risks as shutdown continues On The Money: Shutdown Day 33 | Fight over State of the Union | Pelosi tells Trump no speech on Tuesday | Trump teases 'alternative' address | Trump adviser warns shutdown could hurt growth | Mulvaney seeks list of vulnerable programs Demonstrators protesting shutdown arrested outside McConnell's office MORE (R-Ky.) is signaling he will move to wrap up the Senate's immigration bill this week, warning senators against slow-walking the debate.

"Senators have had plenty of time to prepare. There's no reason why we should not reach a bipartisan solution this week," McConnell said from the Senate floor.

He added that he made a commitment to hold an immigration debate "this week."

"I've lived up to my commitment. I hope everyone will cooperate so this opportunity does not go to waste," he said.

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McConnell's comments are the clearest indication yet that the GOP leader does not intend to let the immigration fight linger over the upcoming weeklong Presidents Day recess.

In a deal to end the three-day government shutdown in January, McConnell promised to turn to the immigration debate after Feb. 8. His public remarks did not include a time limit for how long he would keep a bill on the floor.

The push to wrap up the debate this week comes as senators are struggling to find an immigration proposal that could win the 60 votes needed to overcome a likely filibuster.

Republican senators had predicted that the Senate's free-wheeling debate could last weeks. But Sen. John CornynJohn CornynSenate ethics panel won’t penalize Booker over confidential Kavanaugh documents Graham angers Dems by digging into Clinton, Obama controversies Trump tells GOP senators he’s sticking to Syria and Afghanistan pullout  MORE (R-Texas) appeared to pivot on Monday evening, saying senators had until Thursday.

Responding to a top staffer for Sen. Dick DurbinRichard (Dick) Joseph DurbinSenate ethics panel won’t penalize Booker over confidential Kavanaugh documents Grassley to hold drug pricing hearing Graham angers Dems by digging into Clinton, Obama controversies MORE (D-Ill.) on Tuesday, Cornyn noted the agreement only included a start date and a "fair an [sic] open process."

"Delivered as promised. Clock is ticking so I am anxious to see D counteroffer to POTUS’s proposal that can become law. None so far," Cornyn said in a tweet.

With the Senate expected to be out of town next week, debating the issue for two weeks could have pushed the chamber's final vote up against the initial March 5 deadline to find a fix for the Deferred Action for Childhood Arrivals (DACA) program.

McConnell is backing a GOP plan, spearheaded by Sen. Chuck GrassleyCharles (Chuck) Ernest GrassleyProposed drug importation bill would expose Americans to counterfeit meds Senate ethics panel won’t penalize Booker over confidential Kavanaugh documents Grassley to hold drug pricing hearing MORE (R-Iowa), that largely mirrors the White House's proposed framework.

Updated at 11:06 a.m.