GAA director general Paraic Duffy believes using TV replays to aid refereeing decisions would "distort" Gaelic football and hurling.
Calls for a rugby-style TMO have grown following Mayo's SFC qualifier victory over Fermanagh last Saturday, which was achieved with the help of a questionable penalty.
A referees seminar last December welcomed the possibility of using technology in this way but Duffy has warned that such a move could severely disrupt the flow of a game.
“I heard this being argued, I think by Joe Brolly last weekend," said Duffy. "I watch an awful lot of sport, I watch rugby and American football. They go back to these people to check angles and where does it end?
"This was a penalty incident - do you show videos again for other fouls further out the field, do you do it in sendings off? Where does it end?
“I think it would completely and totally distort the game. I think that would be an absolutely extreme solution and I wouldn’t favour that.
"In this case it’s being advocated around a (Aidan O’Shea) penalty. Do you advocate it around a sending-off, is it a black card or is it not, is it a red or a yellow, is it inside the box or outside the box if it’s a foul? Where does it end?
“Our games are games that flow, they are not stop-start games. I personally wouldn’t be in favour of that.”
Mayo's O'Shea was widely criticised for falling under what appeared to be light contact from Fermanagh defender Che Cullen but Duffy said that with the angles available, even a video replay could not have provided 100% clarity on whether to award a penalty or not.
“Joe McQuillan at the time gave a signal for a tug of the jersey," said Duffy. "Even watching it after all the replays, it didn’t conclusively answer that question because you could not see what the player’s left hand was doing. So even in this case that would not have fully resolved that issue.
“I just don’t think it’s worth it, I don’t think we should go that way. I think you have to accept the fact there will be controversies and mistakes from time to time and that’s what you buy into.”
Duffy also indicated that the issue of replays causing fixture congestion could be addressed again at next year's Congress. A motion to scrap replays failed to achieve the necessary two-thirds majority in Carlow this year.
His native Monaghan exited the Championship last weekend with defeat to Longford, just seven days after losing to Donegal in an Ulster SFC semi-final replay.
“I don’t want to be seen to make any excuses for Monaghan - Longford won the game fair and square, they were very good - but I think it (the seven-day turnaround) was a factor in Monaghan’s defeat," he said.
“The problem was it was a replay. My views on replays are well-known. I think they make fixture-making very difficult.
"I just feel if we are going to address this whole fixtures issue we’ll have to revisit this. It is something we’ll deal with at the end of summer again, I’m sure.
"I’m sure the Connacht and Ulster Councils will say thank God for replays because financially they’re good.
"Personally, the financial reason is the only reason you can give. In terms of players, equity, rest, and the fixtures programme, I think they (replays) are a problem.”