Mitch McConnell (Alex Brandon/Associated Press) Mitch McConnell (Alex Brandon/Associated Press)

Senate Minority Leader Mitch McConnell (R-Ky.) said Monday that fixing the nation's broken immigration system and improving border security are "crucial objective that our nation needs to address," offering a key boost to a bipartisan effort to reform immigration laws.

McConnell stopped short of fully endorsing the new Senate framework. But he praised the group for their "hard work." He called on the Senate to advance legislation through its normal committee structure to allow senators in both parties to contribute to the effort.

“In order for any reform to be successful, congressional committees will have to review and write legislation through regular order, and all members must have an opportunity to debate and amend any legislation that comes to the floor," he said in a statement. "This effort is too important to be written in a back room and sent to the floor with a take-it-or-leave it approach. It needs to be done on a bipartisan basis and include ideas from both sides of the aisle.”

McConnell also sounded a note of caution to President Obama, urging him to "take a bipartisan approach rather than delivering another divisive partisan speech" when he delivers a major policy address on immigration in Las Vegas on Tuesday.