Washington (CNN) Roger Stone is trying a new tactic in arguing against a federal judge who may restrict what he says in public: He's claiming he's not much of a celebrity.

Federal Judge Amy Berman Jackson said last week that she's considering placing a gag order over Stone's criminal case, which includes allegations of threatening a witness, lying to a congressional committee and obstruction of justice.

Stone, after spending the days since his arrest publicly railing against law enforcement and Jackson herself, pushed back in a court filing Friday. He has pleaded not guilty to the seven criminal charges.

His speech shouldn't be restricted, because his lifeblood is writing and speaking about politics and fashion, his attorneys say. But while he's known in some circles, Stone is nowhere near as famous as Kim Kardashian, his attorneys argued. That lack of fame means he will be able to have an unbiased jury when his case goes to trial.

"While Roger Stone may be familiar to those who closely follow American politics, he is hardly ubiquitous in the larger landscape of popular consciousness," his attorneys wrote.

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