Neil Lennon says Celtic face possible ramifications over the next two transfer windows due to government guidance not allowing fans in to stadiums.
He also feels that clubs may need emergency funding packages from the government.
He said: “We need to find some smart solutions for this.
“This isn’t good for the infrastructure of sport in the UK and the longer it goes on the more difficult it is going to become.
“I was looking at some head of associations on Tuesday saying there has to be some sort of compromise because, otherwise, clubs are going to be on the brink of extinction and it’s not just Scotland.
“There has to be some sort of dialogue between the FA, the SPFL and the government to find some compromise as we go forward.
“It’s very dangerous precipices we’re standing on and Celtic aren’t immune to that. A lot of clubs in Scotland are not immune.
“It can’t just be closed door and that’s it. There has to be some kind of middle ground or compromise we can find to make things better.
“And it’s not just for football, it’s for all sports because some could collapse.
“If they are talking six months down the line, that’s no good for anybody really. Whether it be for football or any sport.”