Clubs whose supporters persistently stood during their visit to Elland Road last season, such as Millwall and Cardiff City, face a further reduction and are likely to be allocated less than 1,000 tickets.
Hull chairman Adam Pearson said: "We had heard earlier this month that our allocation could be as few as 955 tickets, which would clearly be nowhere near the amount needed to satisfy demand. We are not blaming Leeds as we have a good working relationship and understand they are under pressure from other bodies."
A United spokesman said: "The measures under consideration are specific reductions in capacity, the specific transfer of supporters on organised transport and the use of specific areas of the ground only."