Martinez had been slated to pitch Wednesday night for the St. Lucie Mets against the Brevard County Manatees.
"The plan is to try to simulate as close as possible to a real game," Mets assistant general manager John Ricco said.
Martinez, a three-time Cy Young Award winner, had rotator cuff surgery last Oct. 5 and threw to batters on June 26 for the first time after the operation. The 35-year-old right-hander likely will be scheduled for a minor league rehab start early next week.
New York hopes to have him back in its rotation next month.