DA Fani Willis's office on Tuesday urged the judge to reject the disqualification effort against her, arguing in a filing that Trump and his co-defendants failed to meet the "high" standard required by law to disqualify an elected district attorney.

Willis' office, in the filing, told the judge the law requires him to find a "high standard of proof" that she has an actual conflict of interest or that she engaged in forensic misconduct -- which she says she did not do. She urged the judge to reject the arguments from Trump and others that the judge can disqualify her based solely on an appearance of a conflict.

"The binding caselaw in Georgia is clear: a trial court is not authorized to disqualify an elected district attorney absent a showing," the filing states. "Every Georgia case that has addressed the issue has reached the same conclusion: in order to authorize a trial court to disqualify an elected district attorney, an actual conflict of interest must be proven."

The filing said Trump and some of his co-defendants have asked the judge to instead to adopt a "novel" legal standard for disqualification "that has never before been recognized in Georgia."

"But no such standard exists under our law," the filing states.

The filing also emphasized that, based on the law, any alleged benefit a prosecutor received must be material, writing that a "nebulous" benefit that is not directly tied to the outcome of the case "is not enough to warrant disqualification."

"Here, the Defendants have not even alleged -- and certainly have not proven --that the District Attorney received any benefit contingent upon the outcome of this case," the filing said.

As Judge Scott McAfee continues to weigh the potential disqualification of DA Fani Willis, one of Trump's co-defendants is now offering a second witness who they say would dispute the testimony of prosecutor Nathan Wade's former attorney, Terrance Bradley, regarding his lack of knowledge of the timing of Wade and Willis' relationship.

Attorneys for defendant Cathy Latham say they spoke to attorney Manny Aurora, who represented former co-defendant Kenneth Chesebro, who later took a plea deal in the election case. Aurora, according to a motion filed Monday, told them he had "several" conversations with Bradley in which Bradley said he had "personal knowledge" regarding the timeline of Willis' relationship with Wade, which Willis and Wade testified did not begin until after Willis hired Wade to work on the election case in November 2021.

According to the motion, Bradley allegedly told Aurora during their discussions that Wade and Willis had "definitely" begun a romantic relational in 2019.

"Mr. Bradley stated he had personal knowledge of the relationship between Mr. Wade and district Attorney Willis, including details regarding the use of Ms. Robin Yeartie's apartment such as Mr. Wade's having a garage opener to the property," the filing claims.

Ashleigh Merchant, the attorney for Trump co-defendant Michael Roman who first launched the effort to disqualify DA Fani Willis from the election case, is expected to testify this week before the Georgia Senate committee that's investing allegations of misconduct against Willis.

Merchant told ABC News she was subpoenaed for the Wednesday hearing before the Senate Special Committee on Investigations, which says it is investigating Willis and will potentially "enact new or amend existing laws and/or change state appropriations to restore public confidence in the criminal justice system."

At the committee's first hearing earlier this year, GOP Chairman Sen. Bill Cowsert said it was not within their authority to seek to disqualify Willis or criminally prosecute her, but rather to "investigate many of these troubling allegations."

Cowsert said they would be "ready to enforce" their subpoena power.

In a court filing Monday, one of Donald Trump's co-defendants proposed new testimony if Judge Scott McAfee were to reopen the evidentiary process in the defendants' effort to disqualify DA Fani Willis, claiming he has a new witness who previously spoke to prosecutor Nathan Wade's former attorney, Terrance Bradley, and will back up claims that he has knowledge to dispute what Willis and Wade say is the timeline of their relationship.

According to the filing from Trump co-defendant David Shafer, Cindi Yeager -- the co-chief deputy district attorney in Cobb County, Georgia -- had "numerous" conversations with Bradley related to Willis and Wade, in which Bradley told her their relationship began before Wade was hired on the election interference case.

"Mr. Wade had definitely begun a romantic relationship with Ms. Willis during the time that Ms. Willis was running for District Attorney in 2019 though 2020," the filing alleged Bradley told Yeager during conversations that occurred between August 2023 and January 2024.

The testimony would allegedly refute what Bradley -- who was supposed to be the defense's "star witness" -- said on the stand at the hearing: that he had "no personal knowledge" of the timing of Willis and Wade's relationship and that he was "speculating" when he said their relationship started around 2019.

The filing also claims Bradley was in Yeager's office in September 2023 when he received a phone call that Yeager "could hear" was Fani Willis allegedly "calling Mr. Bradley in response to an article that was published about how much money Mr. Wade and his law partners had been paid in this case."

"Ms. Yeager heard District Attorney Willis tell Mr. Bradley: "They are coming after us. You don't need to talk to them about anything about us," the filing says.

The filing seeks permission to subpoena Yeager and present her testimony, if the judge were to reopen the evidentiary process.