West Ham say it would be "impossible" to share their new Olympic Stadium ground with another Premier League club without their agreement, reports BBC Sport.
Stadium bosses London Legacy Development Corporation told a tribunal they would be open to discussions with Tottenham and Chelsea, who are redeveloping their grounds.
Monday's hearing, much of which was in private, centred on whether details of West Ham's deal should be made public.
West Ham, who will reportedly be paying between £2m and £2.5m annually in rent, have said they are happy for the contract to be made public and did not send a representative to the hearing.
LLDC chief Geraldine Murphy told the tribunal that West Ham do not have the power to veto a groundshare and that it remains "possible".
But the LLDC did say any new arrangement with a top-flight club would need the "co-operation" of West Ham and the Premier League.
"As anchor tenant we have primacy of use during the football season and our contract gives us overriding priority to use the stadium, ensuring our fixtures and events are ring-fenced and will always take priority over all other events," said a West Ham spokesman.
"It would therefore be impossible to accommodate the fixtures of another Premier League club without West Ham agreeing - a position which was fully supported at today's hearing."