GAA President John Horan can't see games played again this year as long as social distancing measures remain.
Horan stated the GAA are staring down the barrel of €50m loss across the organisation if Covid-19 wipes out the 2020 inter-county season.
He also stressed that neither small group training or pre-match player testing for the virus are viable for the cash-strapped organisation.
Horan said on RTE's The Sunday Game: "If social distancing is a priority to deal with this pandemic, I don't know how we can play a contact sport.
"That is what Gaelic games is. It is a contact sport."
Effectively ruling out the completion of the League, Horan believes the 2020 Championship must start this year if it is to happen at all with hopes being placed on a October re-start.
"The key thing is that it is a contact sport. Our concern has to be the players on the pitch, their families and their work colleagues.
"I would hate to think when this all over and we are back to normal life, I would hate to think we have made any decision that has cost anyone a member of their family.
"If we can't realise their dates [in October], we will have to push it out, and if we have to push it more, it may then mean we have to call off either club or inter-county. And then maybe we will have to call off both."
Horan says that the GAA won’t allow small groups training on their grounds for now.
"There was a concept that people could gather together in groups of four.
"But we felt that just couldn't be marshalled in our clubs and that's why we continued to keep our premises closed.
"Our clubs are led by a load of good, quality volunteer people and to put the onus on the volunteers in our organisation to police and organise training within their facilities, we just felt that would be putting too much on them."
And Horan was quick to dismiss that games being played closed-doors was a short-term solution.
"I have a bit of an issue about this closed doors concept because if it's safe enough for players to be in close contact on the pitch, I think then that's going to be safe enough to have a certain amount of people in a gathering in the actual ground itself.
"We are fortunate in this organisation to have such fantastic stadia - take Croke Park, for example, 83,000 is the normal attendance there.
"I'm sure we could put an attendance into Croke Park that could be done in a safe manner. But I think crowds gathering in that situation will probably come before we have contact sports."
