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 testified about the April 9, 2018, FBI raid on his hotel room and office as part of a federal investigation related to the Stormy Daniels matter. At the time, Cohen's apartment was flooded, so he was residing in a hotel.

"At 7 o'clock in the morning, there is a knock on the door and I look through the peephole and I see a ton of people out in the hallway. I saw a badge ... they identified themselves at the FBI," Cohen said.

Cohen told jurors that the FBI seized two phones, a series of tax books, and other records.

"I found out that simultaneously they had also raided my apartment that was under construction, my law office, and my bank that had a safety deposit box I had just opened in order to hold valuables in because I didn't want to keep them in the hotel," he testified.

"How would you describe your life being turned upside down?" prosecutor Susan Hoffinger asked.

"Concerned. Despondent. Angry,” Cohen said, describing his response to the raid.

"Were you frightened?" Hoffinger asked.

"Yes, ma'am," Cohen said.

Cohen said that he left a message for Trump after the raid, and received a phone call from Trump.

"I received a phone call from President Trump in response to me leaving a message for him to call," Cohen said. "I wanted obviously for him to know what was taking place. He said, don't worry, I am the president of the United States -- there is nothing here. Everything is going to be OK. Stay tough. You are going to be OK."

Cohen said Trump's statements at the time" reinforced my loyalty and my intention to stay in the fold." At the time, the Trump Organization was paying his legal fees.

Cohen said this was the last time he spoke to Trump.

Jurors then saw an April 21, 2018, tweet from then-President Trump that referenced the possibility Cohen might "flip" -- i.e., decide to turn on him.

Cohen said he understood those tweets as being directed "to me" -- meant to indicate, "stay in fold, stay loyal, I have you ... don't flip."

"Mr. Trump did not want me to cooperate with the government, certainly not to provide information or flip," Cohen said.