A majority of League One and League Two clubs are backing a proposal to allow Premier League B teams to participate in the Johnstone's Paint Trophy.
Although not a formal proposal, minutes from an AFC Wimbledon Supporters' Trust meeting reveal the League Two club was the only one of 48 to oppose plans.
The Football Association announced a plan to boost English football in May.
The four-point blueprint included the creation of a new league within the pyramid for Premier League B teams.
The Football League responded by saying they had "no appetite" for the new league, but said they would "continue to work with the FA to help find solutions that will be supported across the whole game".
Peterborough United beat Chesterfield to win last year's Football League Trophy, while Walsall play Bristol City in the final of this year's tournament at Wembley Stadium on 22 March.