Manchester United chief executive David Gill says the club has asked Fifa to intervene in the Carlos Tevez dispute.
Tevez is at the centre of an almighty transfer wrangle
Tevez, 23, was in Manchester on Tuesday but West Ham refused permission for him to have a medical at Old Trafford.
Gill said the case would be rushed through by Fifa so that it could be dealt with as soon as possible.
West Ham have also asked for the matter to be referred to Fifa, with a spokesman adding: "All parties agree this is the best way forward."
A special 'Dispute Resolution Chamber' will be set up by Fifa, possibly within a fortnight, to effectively determine who currently owns Tevez - West Ham or his adviser Kia Joorabchian.
Gill has expressed his confidence the 23-year-old Argentina international striker will eventually become a United player.
The Hammers insist they are still waiting to receive an offer for Tevez.
And the Premier League says a deal must be done between United and West Ham, but not Joorabchian, of Media Sports Investments (MSI), who owns Tevez's economic rights.
BBC Radio Five Live's Gordon Farquhar said: "Tevez's registration will not be transferred until the Premier League are happy and West Ham agree.
There is no deal and West Ham clearly aren't going to be railroaded into this
Five Live's Gordon Farquhar
"So United are going to have to be patient as the Hammers exert their rights over the man they still consider to be their player."
West Ham released a statement on Tuesday saying: "No agreement has been reached in relation to Carlos Tevez."
Under Premier League rules, one club is not allowed to give a player a medical unless his current club agree.
Tevez flew into Manchester on Tuesday after finishing on the losing side in Sunday's Copa America final with Argentina, while Manchester United are on a pre-season tour in Japan.
United's legal expert Maurice Watkins has remained in England as efforts to resolve the dispute intensify.
"Despite a day of talks led by chairman Eggert Magnusson for the Hammers and Maurice Watkins for United, there is no deal and West Ham clearly aren't going to be railroaded into this," added Farquar.
"They have refused a written transfer request, are asserting their rights over the player and are going to insist on this being a transfer between two clubs and not with a third party, the MSI group, whatever their claims over economic rights to the player may be."
It is the latest twist in a transfer saga Gill described as "over-complicated" on Monday.
The Premier League has insisted West Ham, which holds Tevez's registration, must receive the majority of the reported £30m fee rather than Joorabchian.
Last week, a Premier League spokesman said: "Any deal for Carlos Tevez has to be done directly with West Ham United.
"They hold the registration and we will not transfer the registration unless a deal is done directly with the club."
West Ham were only allowed to keep playing Tevez last season after assuring the Premier League all third-party clauses in the player's contract had been severed.
But Joorabchian was confident last week that he had a sound legal footing to push through the transfer.
"We don't see any problems. I spoke to United on Thursday and they are confident they will have him registered within days," he said.
"Carlos will come on Tuesday, have a medical on Wednesday at United and hopefully we will have administrative issues sorted next week.
"Personal terms between Carlos and United have been agreed in full. He feels confident now he is a Manchester United player."
A player cannot have a medical unless his club agrees and West Ham will not give formal permission for a medical until they have been made an offer and accepted it.