Varney believes the 20 Premier League clubs will vote for the proposal because of the money involved.
"This is not about taking the game to overseas fans and thinking that some people would like to see the Premier League in different regions of the world," he added.
"But clubs will vote for it because they are promised extra guarantees on their next television contract.
"They won't vote for it because they think they can help develop academies abroad and can put something back into the game."
Varney says many of the games may not even prove to be that successful in attracting spectators, if the plan ever came to fruition.
"The ordinary fan won't be able to travel to these games, when you talk about the Far East, the large air fares preclude that," he said.
"You'll probably get a large crowd for Liverpool v Manchester United, but with all due respect, if it was Wigan against Bolton, is that going to draw huge crowds? I don't think so."
Football League chairmen meet on Thursday, but it is not known whether the Premier League's overseas plans are on their agenda.