Martin, who has a stiff back, missed his third consecutive game on Friday night when the Yankees hosted the Cleveland Indians at Yankee Stadium.
"He's just not ready," manager Joe Girardi said. "I haven't spoke to him yet. I'll speak to him after [my media conference]. I don't know if he's available tonight but I'll find out."
Martin will hit and swing Saturday and hopes to play on Sunday. He says he still has some discomfort but is feeling better.
Francisco Cervelli, who has struggled mightily trying to throw runners out at second base, once again started in his place. He batted eighth.
Martin injured his back during a postgame workout on Tuesday, but an MRI taken Thursday revealed that he had no disk damage in his back.
"I did my legs, finished up and started dead lifts," Martin said Wednesday. "I did one rep, and as I was coming up I felt something."
Although he wasn't in the lineup on Wednesday or Thursday, Martin said he would have been available for emergency duty had Cervelli gone down with injury.
"For sure," he said. "And I would've done it [Wednesday night]. It probably would've been a little painful, but that's part of the game."
Girardi said that if Martin isn't available, designated hitter Jorge Posada would serve as the emergency backstop.
"I hope he hasn't forgotten," Girardi said of Posada, who hasn't caught a game since Oct. 22, 2010.
Martin is hitting .238 with nine home runs and 27 RBIs in his first year in pinstripes.
Cervelli has already committed five errors in just 13 games. Girardi said there was a mechanical flaw in his throwing motion -- he was opening up too early, causing the ball to sail -- and they were watching video and doing drills to correct it.
Mike Mazzeo is a regular contributor to ESPNNewYork.com.