Rogers missed both tests on Australia's recent tour of the West Indies due to concussion, having been struck on the helmet in the nets.
He was unable to field on day four, but appeared to be in good spirits on the Lord's balcony.
Team doctor Peter Brukner and physio Alex Kountouris will assess Rogers overnight, with Cricket Australia (CA) expected to provide an update on Monday morning.
Rogers was likely to be rested from this week's tour game against Derbyshire.
However, he will be in doubt for the third test that starts on July 29 if his current woes are concussion related.
"I don't know enough about it at this stage," Clarke said.
"But it sounds to me that today's incident is no relation to him getting hit in the West Indies or even the other day.
"We'll wait and see the result and let the experts have a look at him and make their decision.
"But I'm confident Chris will be right for the next test."
Rogers admitted in the lead-up to the Ashes he was worried about the symptoms he experienced in the Caribbean.
"I've been hit in the head plenty of times and never really had that," he said.
"We do have to be a little bit concerned about it.
"You have to look after yourself with head injuries."
Rogers had already contemplated his future in the game after being hit on the back of the head while fielding at short leg during the 2014-15 Test series against India.
CA follow a modified form of the Zurich Consensus, a set of concussion guidelines for all sport.
"It is a serious injury ... we understand the impact of getting hit on the head," Kountouris told AAP prior to the Ashes.
AAP rf/aro
-AAP
