The Football Conference say FC Halifax Town may have to play three matches a week in order to fulfil their fixture list.
The Shaymen face a huge backlog of games after a number of postponements have played havoc with their original schedule.
Town have played the least number of matches in the Blue Square North, 17, which is ten fewer than leaders Chester and already face playing twice a week until the middle of April.
But the league say their hands are tied due to an already full calendar.
Colin Peake, PR & Media Director for the Football Conference, said: “FC Halifax Town, like a number of clubs, may have to play three games a week for a couple of weeks but they won’t be the first team to have to do that, nor the last.
“There will be fans who feel they may be losing out or treated unfairly but unfortunately we have the semi-finals and final of all our Play-Offs booked and they cannot be rearranged, mainly due to this year’s Champions League final taking place at Wembley again, which meant a one-off restructuring of our normal fixture schedules.
“We encounter this sort of problem every year, so it’s not a new phenomenon. There are built-in contingencies in the way the fixtures are initially prepared which allows clubs to accommodate cup games and postponed matches.
“Most of the postponed games have already been rearranged, though we accept that a lot of these dates are already being used up. Having said that, we still have space in the fixture list to fulfil the schedule.”