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Michael D. Cohen, the former lawyer and fixer for President Trump who was to report early next month to begin serving a three-year prison sentence, was granted a two-month delay on Wednesday before he must surrender to the authorities.

Mr. Cohen, 52, must now report to a facility designated by the Bureau of Prisons on May 6, a federal judge in Manhattan, William H. Pauley III, said in a brief order.

Mr. Cohen’s lawyers requested the delay, saying he recently had surgery and needed to undergo intensive physical therapy under the monitoring of his physician.

They also said Mr. Cohen anticipated being called at the end of the month to testify before three congressional committees, which have sought to question him about his work for Mr. Trump. The “substantial time” he would need to prepare for the hearings, his lawyer, Michael D. Monico, wrote in a letter to the judge seeking the postponement, “will limit the time he has to get his affairs in order and spend time with his family.”