First on CNN: Meadows reaches deal for initial cooperation with January 6 investigators - CNN

Meadows to waive Executive Privilege or to forfeit the long-standing position that senior White House aides cannot be compelled to testify before Congress," Terwilliger said.

The agreement is a significant step in the once stalled relationship that comes after months of back and forth between the two parties.

Even though Meadows has begun engaging with the committee in a more serious way, the extent to which he will fully cooperate and the question of what he will try to claim as executive privilege still hangs in the balance, according to multiple sources.

Pete Aguilar, who serves on the panel, told CNN earlier this month that Meadows might have a "minor claim" to executive privilege over some conversations but emphasized the committee has questions for him that "have nothing to do with the conversations he had directly with the President."

"His conversations about stopping a free and fair election, about criticizing and stopping the counting of electoral votes, about his coordination with campaign officials on private devices that were not turned over, all of those issues are not privilege worthy and he has some explaining to do," the California Democrat added.

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Jamie Raskin, a Maryland Democrat and another select committee member, also told CNN earlier this month that the committee has "lots of questions (for Meadows) that have nothing to do with Trump personally."

But the question of how executive privilege looms over Meadows' cooperation with the committee seems to have not prevented both parties from moving forward in their engagement, at least for now.

Ahead of the scheduled deposition earlier this month, Terwilliger issued a statement saying his client would not cooperate with the committee until courts ruled on Trump's claims of executive privilege, noting "a sharp legal dispute with the committee."

But the tone seems to have shifted in recent days, and committee members have hinted that they will offer clarity on the situation with Meadows this week, perhaps as soon as Tuesday.

Adam Schiff said on CNN's "State of the Union" that the committee will make a decision "this week" on whether it will refer Meadows for criminal contempt charges for defying the subpoena.

Ahead of the news that Meadows is now cooperating with the committee, Aguilar said on CNN on Saturday that "there's still a small window in which (Meadows) can still comply here."

"And so we're keeping an eye on the calendar ahead this week and if Mr.