The actor posted a message online yesterday morning, saying he was hurt - just a day before the next live heat of the BBC1 dance show tonight.
He told his followers on Twitter: "Owwwww! My hand is not good... Might be out of competition."
For this week's show, Robinson had been rehearsing a salsa to Wings by Little Mix, which included three lifts, but now he looks to be unable to manage to get professional partner Anya Garnis airborne.
He has already been in pain during the contest. Earlier in the series, Robinson was forced to wear supports on both knees after excessive training for the jive left him with sore joints.
In last Saturday's show, he finished with 33 points from the judges - putting him just behind joint leaders Natalie Gumede, Sophie Ellis-Bextor and Abbey Clancy.