The actor fell over while filming a sequence for the action film Hate Story.
A source told Mumbai Mirror: "Hrithik tried to use the first-aid kit to nurse his hand, but then he realised that the injury required professional attention.
"His skin on his right hand had peeled off and so, he had to take a break from the shoot. Everyone on set was very concerned, but he did not let it affect the shoot."
Roshan suffered from heatstroke and muscle injuries on the set of the Agneepath remake.
In October, the actor reportedly refused to take bed rest to recover from exhaustion.