Sky Bet Championship leaders Fulham had their game against Blackpool stopped after 16 minutes due to an emergency in the Hammersmith End.
Referee Peter Bankes took the players off the pitch while the supporter received medical attention. Pictures showed fans holding up flags to shield the fan from view as medics attended to the individual.
There was a delay of more than half-an-hour before play was able to resume, with Fulham confirming on Twitter that the supporter was being transferred to hospital.
“We’re sending our thoughts and best wishes for a full and speedy recovery,” the club said.
At Oldham a fan was taken ill during the early stages of their League Two game against Rochdale.
As at Craven Cottage, referee Darren Drysdale took both sets of players back to the dressing rooms while the person was attended to in the stand.