Bath chairman Bruce Craig believes their game against Toulon cannot be re-arranged due to there not being a spare weekend in the calendar.
The Champions Cup pool fixture, which was postponed due to the attacks in Paris on Friday, is one of many games now needing to be moved.
But Craig thinks they are fighting a losing battle as the schedule simply cannot accommodate the match due in part to international rugby.
"It is very clear to me that the Toulon match can't happen," Craig told the Daily Telegraph.
"There are simply no free weekends available between now and the end of the season. It is unacceptable that the international calendar does not take into account the domestic game.
"We are playing matches right through the 2016 Six Nations championship to get everything fitted in. There are 33 weekends all accounted for and no slack."
Craig, who added that the issue is "not a serious matter" after what happened in Paris, continued: "The midweek option is not an option to my mind as that would (be) to the detriment of player welfare as well as the integrity of two competitions.
"There is no way we should be letting that happen. You can't play three high-profile games in a week."