McConnell wants to wrap up immigration debate this week

Senate Majority Leader Mitch McConnellAddison (Mitch) Mitchell McConnellOn The Money: Trump asks court to block release of tax returns to Congress | Private sector adds 330K jobs in July, well short of expectations Senate panel advances first three spending bills McConnell lays out GOP demands for government-funding deal 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 CornynWhite House trying to beat back bipartisan Cornyn infrastructure amendment Senate GOP shifts focus to fight over Biden's .5 trillion budget McConnell warns Schumer cutting off debate quickly could stall infrastructure deal MORE (R-Texas) appeared to pivot on Monday evening, saying senators had until Thursday.

Responding to a top staffer for Sen. Dick DurbinDick DurbinSenate eyeing possible weekend finish for T infrastructure bill The Hill's Morning Report - Presented by Facebook - Cuomo defiant as Biden, Democrats urge resignation Democrats barrel toward August voting rights deadline 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 GrassleyChuck GrassleyKaine says he has votes to pass Iraq War repeal in Senate Biden's ATF nominee on shaky ground in Senate Axne endorses Finkenauer Senate bid in Iowa MORE (R-Iowa), that largely mirrors the White House's proposed framework.

Updated at 11:06 a.m.