The drummer had to skip a show in New York on Wednesday (14Oct15) after doctors advised him to take some time to recover from the inflamed tendon.
He was hoping to reunite with his bandmates onstage on Friday (16Oct15) and Saturday (17Oct15) in Connecticut and New Hampshire, respectively, as part of their joint tour with Alice Cooper, but his condition failed to improve enough and Cooper's drummer Glen Sobel filled in for Lee at the concerts.
Breaking the news to fans via Twitter on Friday, Lee wrote, "As some of you may have heard, I sustained an injury of severe inflammation to my left wrist and was unable to play the other night in Buffalo.
"I'm so sorry to say that the injury has not improved and it is unlikely I will be able to perform again tonight in Bridgeport. Regardless, the show must go on and Alice Cooper's amazing drummer, Glen Sobel will be filling in for me on drums.
"I will, however, come on stage to see everyone and also to play the piano with my good hand for the finale on Home Sweet Home. I am told that this injury is temporary and that I will be back on stage very shortly. I'm doing everything in my power to speed up the healing process, I hate not being able to play for you guys!!"
On Saturday, Lee added, "I'm sorry guys...still need some more healing!"
The band's next show is scheduled for Sunday (18Oct15) in Bangor, Maine. It is unclear if Lee will hit the stage.
Motley Crue will play their last show before a six-week break on Tuesday (20Oct15) in Quebec City, Canada. The band will resume touring on 4 December (15) in Lincoln, Nebraska.