Leeds winger Jack Clarke will go home on Sunday to continue his recovery after he was taken ill during the match at Middlesbrough.
Kinnear said that the 18-year-old, who played the first half of the game before being substituted, spent the night at the hospital and will undergo tests but gave a positive assessment of his condition.
A statement from Leeds clarified that the player "began to feel unwell during the second half", adding that he "is responsive and attending hospital with the club's head of medicine and performance".
Liverpool could be planning a summer swoop for Leeds United's teenage starlet Jack Clarke as they look to improve their squad for next season.
"When he was taken to the dressing room, he was better". "He was taken back into the dressing room, where he seemed to have overcome the problem but he's gone to hospital now to see if everything is alright".
Clarke's agent, the former Leeds defender Ian Harte, said: 'We'd like to thank Middlesbrough's medical team, and also everyone involved at James Cook Hospital, where the staff have been brilliant.
Fans have been wishing Clarke the best.
The game was given 12 minutes of stoppage time and it was in the 101st minute that Kalvin Phillips scored the equaliser for Leeds.
Clarke has been one of the Championship's breakthrough stars in 2018/19, making 16 appearances so far for Marcelo Bielsa's promotion chasing side.
Sheffield United lie in third position - three points off Leeds - after missing a golden opportunity of going top themselves surrendering a 3-0 lead on Friday to be held 3-3 by Aston Villa.
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