The Football League board is to consider a proposal to scrap draws and decide matches by penalty shoot-outs.
The idea will be discussed by Football League chairmen and chief executives at a board meeting on Thursday.
No timescale has been given for implementing the change if the chairmen go ahead with the proposal.
Arsenal boss Arsene Wenger said: "I saw this in my first year managing in Japan - it did not have spectacular results."
He added: "In extra-time they played a sudden death goal and if no-one scored they had penalties.
"The draw is part of the culture of the game and I would not like that to disappear."
John S - BBC Sport
The idea was originally put forward in the recent Football League Fans Survey.
There are currently two proposals to be considered - a traditional penalty shoot-out or where a player would have eight seconds to try and score after receiving the ball on the half-way line.
Bournemouth boss Kevin Bond told the Daily Echo newspaper said: "Why can't we just have a draw?"
"I don't agree with it because I think it's too much of a radical change.
"I'm very open-minded and I think certain laws of the game need to move with the times but that would be too much of a drastic measure."