Former President Trump has arrived at the courthouse for today's proceedings.

This will be the final day of court this week, as court is off on Friday for Trump to attend his son Barron's high school graduation.

Michael Cohen has arrived at the lower Manhattan courthouse for his testimony this morning.

Proceedings are scheduled to get underway at 9:30 a.m. ET.

Testimony is scheduled to conclude at 4 p.m., after which Judge Juan Merchan is scheduled to hear arguments from the parties about the bounds of potential testimony from a defense expert witness.

Michael Cohen returns to the witness stand this morning, where the former Trump attorney is expected to face a full day of cross-examination.

Cohen, under direct examination earlier this week, described in-person meetings and phone calls with Donald Trump, who he said joined into an agreement with tabloid publisher David Pecker to catch and kill negative stories ahead of the 2016 election; approved a $130,000 hush money payment from Cohen to Stormy Daniels; and signed off on an arrangement to reimburse Cohen in 2017 using what prosecutors say were falsified invoices. Trump has denied all wrongdoing.

Defense attorneys are expected to question Cohen's credibility based on his past testimony and previous statements he has made in interviews, podcast and books.

Former President Trump has asked New York's highest court to rescind the limited gag order that prevents him from commenting publicly about witnesses, jurors and lawyers in his ongoing criminal trial, according to a new court filing.

The filing is sealed, but is the next step after an intermediate appeals court yesterday upheld the order imposed by trial Judge Juan Merchan.

Trump has frequently attacked the judge, which is permitted, and has called the limited gag order unconstitutional.

In its ruling yesterday, the intermediate appellate court said that Merchan had appropriately balanced Trump's free speech rights with the court's need to control the trial.

There was no immediate comment from the Manhattan DA's office.

-ABC News' Katherine Faulders contributed to this report

Michael Cohen said then-Trump Organization CFO Allen Weisselberg suggested using a non-Trump entity to make the $150,000 payment to AMI to distance Trump from the deal.

"I went to Allen's Office. I expressed to him that we need funding of $150,000 to consummate this transaction. Allen then said to me, 'Well, if we do it from a Trump entity, that kind of defeats the purpose,'" Cohen recounted.

Cohen said Weisselberg suggested using a non-Trump entity for the transaction to distance Trump from the deal. Cohen said Weisselberg asked him to "think about ways that we could raise the $150,000."

"It was in order to keep it separate," Cohen said.

Cohen told the jury that he created the company "Resolution Consultants LLC" to purchase the life rights to McDougal's story. When asked about the purpose of the company, Cohen responded that it was "to use this entity for the assignment of the McDougal matter as well as the other information."

The "other information" appears to be a reference to the National Enquirer's other records on Trump that Cohen sought to attain.

Earlier in the trial, jurors heard from Cohen's banker Gary Farro about Cohen's frantic effort to create a bank account for Resolution Consultants LLC and saw the bank records associated with the company.