The Bravo exec previously filed a motion in May to dismiss McSweeney’s toxic workplace and discrimination lawsuit and cited the network’s first amendment rights

Andy Cohen has asked a judge to press pause on his ongoing lawsuit with Leah McSweeney.

In a new letter obtained by PEOPLE, the Bravo mogul, 56, requested that a New York judge stay discovery, or temporarily stop the process of obtaining evidence in the legal battle, until a decision is made on the motion to dismiss that he submitted in May.

Citing how The Real Housewives of New York City alum’s first amended complaint (FAC) is “exceedingly lengthy, complex and far-reaching” with eight defendants and over 34 witnesses, Cohen argued in the letter that “any discovery sought will be broad and require extensive responses” and therefore should be paused until consensus is reached on the dismissal.

The letter also pointed out that McSweeney “only seeks money damages” and “would not be prejudiced by a stay.” The Housewives aficionado further claimed that both “parties and non-parties would be required to devote substantial time and resources to discovery, despite the likelihood that Plaintiff’s claims would be dismissed.”

After noting how a temporary pause would “further the interests of efficiency and conservation of judicial resources,” Cohen argued that his motion to dismiss has taken into consideration McSweeney’s “own allegations” and documents.

“Notably, [McSweeney] already had the opportunity to supplement her pleadings following the filing of Defendants’ motion to dismiss the original Complaint, but she failed to correct any of the deficiencies,” the letter stated.

PEOPLE has reached out to McSweeney’s attorney for comment.

In May, Cohen asked a judge to dismiss McSweeney’s previous claims that she had faced sex/gender, religious and disability discrimination in a “hostile work environment” during her time on the Real Housewives franchise.

The motion came about three months after McSweeney sued Cohen, Bravo, Shed Media and other subsidiaries in February for allegedly establishing a “rotted” workplace culture where cast members were pressured to consume alcohol and other drugs.

The former reality star also claimed that the defendants failed to maintain a safe working environment and accommodate her disabilities, including “alcohol use disorder” and “mental health disorders” in order to “create morbidly salacious reality television.”

Stating that McSweeney’s allegations are “threadbare” and should be “dismissed as a matter of law,” Cohen’s file to dismiss stated that the reality star’s discrimination claims “impermissibly seek to abridge Defendants’ First Amendment rights to tailor and adjust the messages they wish to convey in their creative works, including through cast selection and other creative decisions.”

While they claimed that they’ve never intended to use the Real Housewives franchise to “feature inebriated cast members,” to do so would be within their First Amendment rights regarding decisions within casting and directing.