He said many depositions need to be taken including House Speaker Nancy Pelosi and Vice President Kamala Harris.
"If they want to have witnesses, I'm going to need at least over 100 depositions. Not just one," van der Veen said.
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Van der Veen said the depositions should not be done over Zoom, the online video chat service that has grown in popularity during the COVID-19 pandemic.
"We did not do this hearing by Zoom," van der Veen said as he tapped his podium with each word.
"These depositions should be done in person in my office in Philadelphia," van der Veen said. "That's where they should be done."
His animated statement was met with laughter from the chamber, which visibly angered van der Veen.
He continued, "I don't know how many civil lawyers are here, but that's the way it works, folks. When you want somebody's deposition, you send a notice of deposition and they appear at the place where the notice says. That's civil process."
SEE ALSO: Fight over witnesses could delay trial conclusion
He then responded to the laughter in the room.
"I don't know why you're laughing," van der Veen said.
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Sen. Patrick J. Leahy, president pro tempore, who is presiding over the Senate's second impeachment trial against former President Donald Trump, interjected.
"I would remind everybody we would have order in the chamber during these proceedings," Leahy said.
Van der Veen who stepped away while Leahy was speaking returned to the podium.
"I haven't laughed at any of you and there's nothing laughable here," van der Veen said.
The trial is being held in person, but lawmakers are wearing masks and the coronavirus pandemic has halted most normal activity, including close contact in offices for depositions. In many civil and criminal cases, such work is handled via conference call.
Van der Veen is the founder of the van der Veen, O'Neill, Hartshorn, Levin law firm in Center City Philadelphia.
The Chester County, Pennsylvania resident earned his first law degree, a J.D. from Quinnipiac School of Law, in 1988. He received a Masters of Laws (LLM) from Temple University School of Law in 1995.
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Closing arguments were expected Saturday. But lead Democratic prosecutor Jamie Raskin of Maryland asked for a deposition of Rep. Jaime Herrera Beutler over fresh information.
She has widely shared a conversation she had with House Republican leader Kevin McCarthy over Trump's actions on Jan. 6 as the mob was rioting over the presidential election results.
SEE ALSO: GOP congresswoman says Trump-McCarthy phone call during Capitol riot shows Trump sided with mob
New details about phone call between Trump, McCarthy during Capitol riots
Senators voted to consider hearing from witnesses in the impeachment trial, potentially extending proceedings.
Five Republican senators joined all Democrats in voting 55-45 on a motion to consider witnesses and testimony.
Van der Veen blasted the late action, saying it's time to "close this case out."
However, no witnesses will be called to the trial.
Written testimony of Rep. Herrera Beutler was admitted into evidence, and neither the Trump legal team nor the House Managers made any further motions for witnesses.
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The Associated Press contributed to this report.