Euan is recuperating at home after suffering a seizure when he was knocked out early in Glasgow's Celtic League win over Munster at Hughenden on Saturday. He has been reassured by consultants at the Western Infirmary, Glasgow, that his career is under no threat.
He told yesterday: "It all seems to be very good. I've been well looked-after and Gerry Haggerty [Glasgow's team doctor] and all his staff at the game were also first-class.
"I'm very keen to get back as soon as possible because I only played my first game of the season two weeks ago then had those few minutes on Saturday. There is no point in rushing things, though. I just need to rest up and take care."
Euan admitted to being taken aback by accounts of the incident. "I've spoken to friends and read the paper after I woke up and it was quite a shock," he said.
"I don't have any recollection of what happened following the scrum which we were involved in."
A massive effort was required by the medical team to subdue the player. The convulsive reaction he suffered has occurred in players of Australian Rules Football, where extensive studies indicate there should be no long-term effects.
A comprehensive review of such incidents in that sport has been conducted by Dr Paul McCrory, a neurologist and sports physician at the University of Melbourne.
Covering a 15-year period, the rarity of such injuries is demonstrated by only 20 episodes of concussive convulsions having been identified.
Dr McCrory noted: "The outcome for players with these events was universally good. All players returned to participation in elite sport within two weeks of the episode without effects." He added that match statistics did not reveal any significant difference in injured players' performances before and after injury.
Murray's parents, Laura and Alistair, with his sister Rhona, arrived late for the match on Saturday and did not witness the incident.
Mrs Murray said yesterday: "It has all been very worrying, but we didn't actually see it happen because we had trouble getting parked.
"We passed the ambulance in the street then, when we got into the ground we couldn't see Euan so my daughter panicked a bit and went down to find out what had happened.
"I shudder to think how I would have reacted if I had seen it, but when we arrived at the hospital he greeted me perfectly normally in the resuscitation room."
Mrs Murray dismissed any suggestion that the incident had given her concerns about whether her son should be playing rugby.
"It is a dangerous game but Euan is a big, strong boy," she said. "I've never actually considered him giving up."