Martin, who was signed to provide depth to the Knicks' depleted front line, received a DNP on Friday against the Wizards and has played just five minutes in the first seven days of his 10-day contract.
But general manager Glen Grunwald said that he hopes Martin will be with the Knicks for the remainder of the season.
That could change if Martin gets hurt or if the Knicks need to use his roster spot for other purposes.
Woodson also said that Marcus Camby will suit up against Miami on Sunday.
Camby has been sidelined since Jan. 10 with a plantar fascia injury in his left foot.
Woodson was unsure if he would use Camby against the Heat.
"We'll just have to see how the game goes," Woodson said.
With Rasheed Wallace out with a fractured left foot and Martin working his way into shape, the Knicks could use Camby's inside presence off the bench.
Ian Begley is a regular contributor to ESPNNewYork.com.