Two London football clubs want to use the ?486million venue in Stratford, east London, after the Games end next summer.
Earlier this year the Olympic Park Legacy Company (OPLC) opted for a bid put forward by West Ham. Tottenham have asked a High Court judge for permission to mount a legal challenge to that decision.
Lawyers said they expected to spend the day presenting legal arguments to Mr Justice Collins, sitting in London.
Media reports on Tuesday night suggested that Spurs were on the verge of dropping attempts to make a legal challenge.
At the start of the hearing, the judge said he had heard a report on BBC radio and asked if Wednesday's application was "still active".
Lawyers for Tottenham said it was.
Source: PA
Source: PA