Nigel Lythgoe Sued for Alleged Sexual Assault by 2 Reality Show Contestants amid Ongoing Paula Abdul Suit

Abdul filed a suit against the producer in Los Angeles County on Friday

Nigel Lythgoe is facing a new sexual assault lawsuit just days after being accused of multiple counts of sexual assault by Paula Abdul.

According to court documents obtained by PEOPLE, the former So You Think You Can Dance judge, 74, was accused of negligence, sexual assault/battery, sexual harassment, gender violence, and intentional infliction of emotional distress by two contestants of the 2003 all-female reality competition show All American Girl.

On Tuesday, the women filed the lawsuit against Lythgoe and an unnamed production company at the Superior Court of California in Los Angeles County and were identified as Jane Does. TMZ reported that the reality show and Lythgoe were the parties addressed in the suit as "John Roe N.L." and "AAG," citing sources.

A representative for Lythgoe did not immediately respond to PEOPLE's request for comment.

Related: Nigel Lythgoe Says Paula Abdul's Sexual Assault Allegations Against Him Are 'False' and 'Deeply Offensive'

The lawsuit alleges that Lythgoe would often interact with contestants and, on one occasion, "walked around the set and dressing rooms and openly swatted and groped Plaintiffs' and other contestants' buttocks" while they were wearing dance costumes.

The women claim that his behavior was "openly accepted," as "employees, contractors, representatives, and agents saw this happen but did not act in any manner to condemn the action or prevent it from happening again."

The lawsuit states that filming took place in Los Angeles from January 2003 to May 2003 and alleges that Lythgoe made unwanted "sexual advances" towards the women after a wrap party.

Lythgoe allegedly took an "unusual interest" in one of the women and "insisted" for her to "ride in his car to go back to the studio where everyone else was going" following the party. The other woman saw this and "decided to go with them to ensure her colleague was not left alone," according to the lawsuit.

The former American Idol producer allegedly took the women to his Los Angeles home, where they claim to have rejected his advances.

Related: Paula Abdul Sues American Idol, SYTYCD Executive Producer Nigel Lythgoe for Alleged Sexual Assault

Lythgoe is alleged to have lifted his sweater over one woman's head, "attempting to kiss her and pushing her body close to his," and she allegedly "scrambled to release herself from his grasp."

He allegedly pinned the other woman "against a grand piano in the house, pushed himself against her body, and forced his mouth and tongue onto her despite her numerous statements telling him not to and attempts to pull her face away from his" later that same night.

Abdul, 61, claims to have been sexually assaulted by Lythgoe during their time working together. In her lawsuit filed on Friday, she alleged that Lythgoe sexually assaulted her once during the early seasons of Idol and once during her tenure on SYTYCD. She also accused him of sexually assaulting her assistant.

Lythgoe denied Abdul's claims in a statement to TMZ.

"I want to be clear: not only are they false, they are deeply offensive to me and to everything I stand for. ... I can't pretend to understand exactly why she would file a lawsuit that she must know is untrue," he said. "But I can promise that I will fight this appalling smear with everything I have."

If you or someone you know has been sexually assaulted, please contact the National Sexual Assault Hotline at 1-800-656-HOPE (4673) or go to rainn.org.

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