After 10 rounds of heavyweight punishment, the referee stepped in to end the fight as Fury picked up his 33rd victory.
The 34-year-old also stayed on course for a unification showdown with reigning IBF, IBO, WBO and WBA holder Oleksandr Usyk, who was ringside.
While many expected the undisputed mega-fight to take place in early 2023, that may no longer be an option following Fury's injury admission.
After beating Chisora, the British heavyweight told ESPN: "I've got to do some stuff. I've got some hand problems and maybe need to have some surgery on my elbow. But after that, I'm ready for anybody."
When asked to elaborate, he added: "I put my hands up tonight on Derek's big head. He's solid as a brick. I've got some elbow problems that I maybe need surgery on my right elbow.
"I had the left done back in October after the Wilder 3 fight. It will take about six to eight weeks to heal."
When asked whether that could prevent a February/March date, Fury added: "We'll see when we'll be ready for this fight, we'll see when it can be made."
Despite this, Fury remains confident of victory over Usyk, saying: "I just think I can beat anybody. There's no stopping me, I'm on a roll. I've just got a good 10 rounds in tonight, I'm going to be match fit going into the next fight - I can't wait.
"I'm just going to keep knocking them out. Stoppage win, four in a row now under SugarHill [Steward]. It just keeps going and going."