(CNN) Michael Cohen's congressional testimony next month will exclude any topic that's "under investigation," Republicans say they were told by Cohen's lawyer, which could mean Cohen won't discuss lying to Congress about the Trump Tower Moscow project or the payments made to women during the 2016 campaign for their silence.

Reps. Jim Jordan and Mark Meadows, senior Republicans on the House Oversight Committee, released a letter to Cohen's attorney Guy Petrillo discussing their conversation with another Cohen attorney, Lanny Davis.

In the letter, Jordan and Meadows write that Davis told them Cohen's testimony was likely to be "unsatisfying" and "frustrating" because of the topics that would be off limits.

"According to Davis, the sole purpose of Cohen's appearance before the committee is to allow Cohen to share his personal anecdotes about his time working for the then-private citizen Donald J. Trump, and his experiences after Mr. Trump became President," Jordan and Meadows wrote. "Pressed on how Cohen's testimony is jurisdictionally related to the committee's role in overseeing the functioning, efficiency and effectiveness of the federal government, Davis stated Cohen has 'anecdotes about his time with the President.'"

In response to the letter, Davis said: "I offered to brief the minority staff to show a spirit of bipartisanship, encouraged by the Chairman's office. I offered on Mr. Cohen's behalf for Mr. Cohen to speak with Ranking Member Rep. Jim Jordan out of courtesy and the same spirit of bipartisanship, and we have not heard back. ... Beyond that, I will not dignify the unwarranted attack by Mr. Jordan as to my motives."

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