He remains day to day but was unavailable for Thursday night's game against the Boston Red Sox.
"If I come in [Friday] and feel great, I don't see why I can't play," Martin said. "I would've been real surprised if it was something bad. I haven't really done much to test it, but noticed from picking things up, it feels better.
"Right now I'm just going to take it day by day and see what happens."
Martin said his back became stiff after a postgame workout Tuesday.
"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."
He wasn't in the lineup Wednesday, but he said he could've been used in an emergency situation.
"For sure," Martin replied when asked if he could come in should an injury arise to starting backstop Francisco Cervelli. "And I would've done it [Wednesday night]. It probably would've been a little painful, but that's part of the game."
Martin is hitting .238 with nine home runs and 27 RBIs.
Mike Mazzeo is a regular contributor to ESPNNewYork.com.