Dave Sullivan Junior, son of West Ham co-chairman David Sullivan Senior, has refused to rule out the possibility that the Hammers may eventually buy the London Stadium.
The controversial stadium is currently owned by Newham Council and E20 LLP, but it is costing the taxpayer millions of pounds in upkeep.
In an interview with Sport Bible, when asked about the possibility of his father buying the London Stadium outright in the future, Sullivan Junior said: "I cannot comment on that, but it is certainly a possibility." West Ham pay £2.5m-a-year to rent the stadium.
However so far this season West Ham have been unable to play their football there due to the World Athletics Championships being held in Stratford.