She also doesn't want transcripts or other accounts of the deposition introduced into public records. The documents state Lohan is afraid videotaping the deposition will "unduly embarrass, oppress and burden her because of the private subject matter of the expected testimony and the virtual certainty that, unless access is significantly limited, the transcript and videotape of the deposition will be illegally exploited by the media."
Her attorneys cited a judge's order barring videotaped depositions in Britney Spears and Kevin Federline's recent custody dispute.
A judge is scheduled to consider Lohan's motion in November.
Civil depositions are not public records, but the motion states Lohan is afraid that some media outlets would try to steal copies of the tape if the questioning is filmed.
Ronson sued her former lawyers in May, claiming they failed to represent her adequately when she sued bloggers, including Perez Hilton. Ronson claimed the bloggers defamed her by writing that she had planted drugs in Lohan's car and was exploiting the actress to the paparazzi.
The celebrity DJ's lawsuit states that her then-attorneys didn't properly fight a motion by Perez Hilton, whose real name is Mario Lavandeira, to dismiss the lawsuit. A judge granted Lavandeira's motion and ordered Ronson to pay him nearly $85,000 in legal fees.
In court documents filed earlier this week, Ronson claimed her former lawyer, Martin Garbus, and a pair of law firms threatened to sue her over unpaid legal fees in the days before Lavandeira's dismissal motion came before a judge.
Garbus has challenged the legal standing for several of Ronson's claims.