Manager Joe Girardi said that Cervelli is scheduled to see a neurologist on Friday and has not been cleared to resume any activities.
"He's still experiencing symptoms," Girardi said on Tuesday. "I'm not sure we're going to get him back."
Cervelli had said that he was feeling better on Monday, but that he remains unsure about his potential availability for the postseason.
If Cervelli is sidelined for the playoffs, the Yankees would consider carrying rookies Jesus Montero or Austin Romine as the backup catcher to Russell Martin.
Cervelli suffered the concussion, which he believes was the third of his career, when he was hit in a home-plate collision with the Orioles' Nick Markakis on Sept. 8 in Baltimore.