"A third party, quite frankly, as far removed from this as possible needs to sort it out," Scudamore said.
Scudamore insists the Premier League are not absolving themselves of any responsibility for the matter.
Having set up an initial inquiry to hear the case against West Ham, then an arbitration panel in response to Sheffield United's claim the Upton Park outfit should have had points deducted, Scudamore believes the Premier League have acted in accordance with their rules.
However, he does accept the Premier League are now so heavily involved in the matter, it would be wrong for them to make the final decision.
"It is not a question of FIFA stepping in," he said.
"The fact is there has to be a point of determination. Given we have been working with West Ham throughout this process, holding them to account for undertakings they made to us, it would be wrong to get into a determination issue between Carlos Tevez and West Ham."