Dilshan collided with one of his team-mates while playing football after the first Test in Ahmedabad and he was immediately rushed to a hospital for an X-ray examination.
Brendon Kuruppu, the Sri Lanka's team manager, though said there was no need to worry, as the injury was not serious.
"The injury was put right by the surgeon before we left for Kanpur and Dilshan is out of danger," Kuruppu said.
"He is not in any kind of great discomfort. He will resume practice with the rest of the team tomorrow," he was quoted as saying by Cricinfo.
Prior to the first Test, Dilshan sprained his ankle during practice but recovered in time to score a century.
No practice for Sri Lanka ahead of first Test
Schedule: Sri Lanka's tour of India
We could have bowled tighter: Dhoni
No psychological edge from drawn Test: Sangakkara
Images: India v Sri Lanka, 1st Test, Day 4