The committee subpoenaed Cohen, 52, to testify Tuesday, as part of the panel's Russian interference investigation, but his attorney said Monday that the hearing would need to be postponed as his client recovers from shoulder surgery.
"The Senate Select Committee on Intelligence has accepted Mr. Cohen's request for postponement of tomorrow's hearing due to post surgery medical needs," Cohen's attorney, Lanny Davis, said. "A future date will be announced by the Committee."
Cohen originally was invited to testify publicly before the House oversight committee on Feb. 7, but postponed the appearance citing verbal attacks against him and his family by Trump and Rudy Giuliani, Trump's current personal lawyer.
After that appearance was postponed, U.S. Marshals subpoenaed him to testify before the Senate Select Committee on Intelligence on Tuesday.
Cohen testified before the House and Senate committees in 2017 that a plan to build a Trump Tower in Moscow ended in January 2016, but he pleaded guilty to lying during those testimonies in November.
The court documents say Cohen lied to lawmakers out of loyalty and to minimize ties with Russia during Trump's campaign