Stephen Miller, a senior policy adviser to President Trump, is reportedly under consideration to succeed Anthony Scaramucci as White House communications director.

Miller isn't the frontrunner for the job, Axios reported Saturday. But White House chief strategist Steve Bannon reportedly likes the idea.

Miller, a former staffer to then-Sen. Jeff Sessions Jefferson (Jeff) Beauregard SessionsTrump's policies on refugees are as simple as ABCs Ocasio-Cortez, Velázquez call for convention to decide Puerto Rico status White House officials voted by show of hands on 2018 family separations: report MORE (R-Ala.), received praise from his colleagues after sparring with CNN reporter Jim Acosta during a press briefing Wednesday.

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In that exchange, Miller fiercely defended a White House-backed bill that would establish a merit-based immigration system and accused Acosta of having a "cosmopolitan bias."

Trump applauded Miller's performance at the press briefing, according to Axios. The president was also pleased with Miller's combative performance during a series of appearances on the Sunday news show circuit earlier this year.

Trump is in the process of finding a replacement for Scaramucci, who was named communications director last month before being removed from the role 10 days later.