The abolition of FA Cup replays will be discussed at a meeting of the premier league clubs.
Changes to the EFL Cup will be part of the 'New Deal for Football' talks.
The FA and EFL would have to be contacted about any possible changes to the cups.
The clubs are concerned about the increased strain on the already packed calendar that will be created by Uefa's expansion.
FA Cup replays were axed in the 2020-21 season to make room for Covid-19.
They were dropped for the third and fourth rounds.
The English Football League and the Football Association have yet to make a formal response to the idea of the premier league changing their top flight.
All three European competitions will have a play-off to get to the last 16 in the competition that will be 36 teams in 24 years.
The dates for the additional games have not been decided.
The space can only be found by using the FA Cup third and fourth-round replays and the EFL Cup.
As many managers feel there are too many games for the elite clubs, both scenarios relating to the FA Cup and EFL Cup are being discussed by the Premier League as part of an overall revamping of the game, which will involve tighter financial controls at the top end.
Alteration to the current parachute payments which give the clubs receiving them a huge financial advantage is one of the measures that would be included.
It is believed that England's biggest clubs are committed to retaining the cup.
If it remained as a 92-club competition, those who feature in Europe would either play a reduced squad or only use their under-21 squad as they would have to play two matches in a row.
The strain on the calendar can be seen by the issues involved in rearranging the postponed matches.
There are no plans to change the format of the FA Cup or the EFL Cup this season, as the games will be rearranged as a 10- match block.
There were three spare midweeks in April and May when a full round of games could not be played because of the EFL Cup final and FA Cup semi-finals.
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