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

"David had asked me when he should anticipate receiving -- being paid back the $150,000," Cohen testified about then-National Enquirer publisher David Pecker seeking repayment for the money he spent to catch and kill Karen McDougal's story for Trump.

"He wanted the $150,000 back because it was too much money for him to hide from the CEO of the parent company, and he had also laid out $30,000 previously, so he was putting pressure on me to speak to Mr. Trump and to get the money back," Cohen said.

"Was he upset about it?" prosecutor Susan Hoffinger asked.

"Very," Cohen said.

Cohen met with Pecker for lunch, where Cohen repeated the request for reimbursement. Cohen said he communicated the request to Trump.

"Don't worry, I'll take care of it," Trump said, according to Cohen.

Trump's attorney Emile Bove, during the testimony, leaned in to whisper something to Trump, prompting him to crane his neck to the side and then sit up in his seat for the first time this morning. He then appeared to drop back down and close his eyes again.