Bannon in recent weeks has had a falling out with Trump.
In a sweeping interview with the Wall Street Journal, Trump explained that him calling the North Korean leader a "maniac", a "bad dude", "short and fat" and "rocket man" is part of a broader strategy to win over his enemies.
The session will reportedly focus on Bannon's involvement during the campaign period.
The move comes as he continues to suffer the fallout from Michael Wolff's explosive book, Fire and Fury, in which Bannon harshly disparaged several members of the president's inner circle, including Donald Trump Jr., Ivanka Trump, and Jared Kushner.
Burck, who is a former special counsel and deputy counsel to George W Bush, is also representing Bannon exclusively in the House of Representatives intelligence committee interview relating to his time as campaign chairman for Trump.
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CIA Director Mike Pompeo (pahm-PAY'-oh) gives President Donald Trump his regular intelligence briefings, and says Trump is fully engaged, understands complex issues and asks hard questions. Burck has also reportedly represented White House Counsel Don McGahn and former White House Chief of Staff Reince Priebus in response to Special Counsel Robert Mueller's probe into the Russian Federation issue. Thirty-five percent said they did not know or had no opinion.
The special counsel's team of investigators has expressed interest in speaking with Trump, but no details have been worked out.
Separately, Representative Adam Schiff, the panel's top Democrat, told reporters on Thursday he would like "dozens" more witnesses, including Bannon, to appear before the committee, making clear he does not view the panel's investigation of Russian Federation and the election as near its end. Chuck Grassley. She is the top Democrat on the panel.
This apparently off-hand remark may take on new significance after that another lawyer for the president, Michael Cohen, just weeks before the 2016 presidential election to keep her silent about an alleged 2006 sexual encounter with Trump.