Bradford chairman Andrew Chalmers says the club may never return to the city if they walk away from Odsal.
The Bulls will make a decision in two weeks on where to play their home matches next season.
Chalmers says staying at Odsal is financially unsustainable with the club able to leave and vacate the ground on September 30th.
Bradford Council currently own the land with the RFL as lease-holder, leaving the Bulls to pay rent, insurance, utilities, maintenance, operating costs and other rates.
Chalmers says Odsal is currently the most expensive stadium in the British game and has already held discussions with Dewsbury Rams about playing at the Tetley’s Stadium in 2020.
Speaking to the Bradford Bulls website, Chalmers said: “We are required to pay rent monthly (at Odsal), which is deducted from the clubs central distribution, at the same rate that was struck when the club had a £1.4m per annum Super League distribution, effectively £72,000 per annum.
“The clubs central distribution in 2019 is only £148,000 per annum. In 2018, it was £75,000 per annum!
“Quite clearly affordability becomes an issue, unless you are in Super League. Needless to say the RFL and the club are discussing the issues.
“The Bradford Council as land owner, and the RFL as the lease-holder need to lead the resolution to this problem.
“Because certainly, the Bradford Bulls will be forced to vacate Odsal in September, without resolution and with that decision being made by the club on the 15th August.
“No Deal means vacating Odsal, relocation to a new ground, very potentially outside of Bradford.
“The concern for many including me, is that if we don’t plot a path back to the city, then the Bulls may well end its tenure in Bradford forever, and cease to become a Bradford icon.”