The Ballyporeen man, who scored 3-31 in the league, was named in the Tipperary team to play Waterford but was ultimately left on the bench.
He is rehabilitating a hamstring issue, although he did take part in the pre- match warm-up.
“If we had 14 days, Conor Sweeney would definitely be playing against Cork,” said Tipperary manager Liam Kearns.
“We have six days, so it’s going to be very tight. We’re hoping he’ll make it. We didn’t use him tonight. He’s got a hamstring issue.”
Steven O’Brien was also left out of the team named on Friday due to a minor ankle injury but played the final 30 minutes of the game.
“Steven O’Brien had a knock on his ankle. He came through OK. We wanted to see whether he was up to it or not with a view to the game the next day. Hopefully we’ll be alright.
“If anybody else has knocks, they won’t make it because of the six-day turnaround, that’s the reality of it. It’s about recovery now.
“We’re going straight away now to do a recovery session, something we wouldn’t be doing if we didn’t have to play in six days’ time.”
Meanwhile, Waterford manager Tom McGlinchey is left to rally his troops for the familiar first-round qualifiers.
“It would be a break to get a nice draw but we’ll see now. There’s big teams in it like Cavan, a Division 1 team, Mayo are in it. Tyrone or Monaghan are in it, Donegal or Derry, so it is going to be hard. We’ll cross out fingers and toes and see what we get.”
His side were without six of the team who pushed Cork all the way last year but was impressed by his debutants.
“They all did well. Kieran Power really left everything out there, definitely in the first half got on a lot of ball. Shane Ryan was outstanding, got on a lot of ball and showed very well.”