And the Football League have confirmed that their board has discussed the issue and would "give favourable consideration to any proposal".
But the consortium is reportedly preparing a £12m bid to buy QPR in an attempt to maintain the club's separate identity.
The consortium wants to buy Rangers, rugby union outfit London Wasps and their parent company, Loftus Road plc, and is set to publicly declare its interest shortly.
Wimbledon chairman Charles Koppel confirmed talks have taken place, but said no merger was imminent.
"We have been approached by QPR and while discussions regarding the idea of a possible merger have taken place, we realise that no agreement could ever be reached without consulting our supporters first."
And he added the club plan to meet with supporters to discuus the idea before the final game of the season.
A statement from the Football League on Thursday said: "At its meeting in London today, the board of the Football League were informed in outline of a proposed merger between Queens Park Rangers FC and Wimbledon FC.
"The board now awaits the submission of a formal proposal for its discussion.
"The board indicated that whilst they will give favourable consideration to any proposal, they must also bear in mind the implications for the league competition and for the supporters of both clubs.
Rangers are in administration with debts of around £11m, but own their Loftus Road ground.
Wimbledon on the other hand, are looking for their own home and would relocate to west London if the merger was given the go-ahead.
Alternative
The move is being presented as an alternative to Rangers going out of business.
But the consortium, which first tabled its offer several weeks ago is now looking to provide an alternative.
Its bid is for both the rugby and football wings of the plc and would involve QPR and Wasps sharing Rangers' Acton training ground.
A bid for Wasps and the Twyford Avenue training site from Loftus Road owner Chris Wright has already been accepted by the administrators.
The consortium has indicated it is still interested in acquiring QPR if Wright's purchase of Wasps goes through.
QPR 1st, the Queens Park Rangers Supporters Trust, has also said it will vigorously oppose any merger between the two clubs.
Fans opposed
Libby Magrill, spokeswoman for QPR 1st said: "QPR fans will fight to retain the identity of our club. We know that Wimbledon fans will do the same."
Representatives of QPR 1st and QPR owner and now ex-chairman Chris Wright are set to meet in the near future and the supporters group will be seeking assurances from Wright that no merger is planned or being considered.
Loftus Road plc, the owners of QPR, also issued a statement saying they were disappointed that talks of a merger had already become public knowledge.
The statement read: "It is not helpful that the news has been leaked as we were intent on exploring the opportunity in a sensible and controlled manner.
"That included sending a letter to all season ticket-holders, club members and shareholders, asking them of their opinion and whether the proposal is worth pursuing.
"Should these discussions continue, the questionnaires will be distributed in the near future and we welcome honest and constructive feedback.
"The talks with Wimbledon will only continue if there is general approval from our supporter base.
And they added: "The nature of the talks have included the possibility of the new club playing in Division One at Loftus Road, with the name and colours reflecting elements of both clubs."
Speculation that a third London club, Brentford, could also become involved have been dismissed by chairman Ron Noades.
Noades had been linked with a rival bid for QPR but told the Evening Standard: "We are not interested in any merger with or takeover of QPR.
"We were in talks with QPR about a possible ground share at Loftus Road but those cannot proceed until the club is out of administration.
"In the meantime, our own talks about a new ground for Brentford in the borough of Hounslow are progressing well.
"If QPR and Wimbledon merge we would be interested to talk to them about a possible ground share if we do manage to move to a new home ourselves."