Despite that opposition, Team GB competed in the men's and women's events at the London Olympics in 2012.
But Boyce, a former president of the Northern Irish federation, told reporters in Zurich that world governing body FIFA would need to approve such a plan and would only do so if all four British countries were in agreement.
Northern Ireland, Scotland and Wales have long been concerned about losing their individual status with FIFA and being subsumed into one Great Britain team for all international events.
"I was given an absolute categorical assurance from FIFA that unless full agreement could be reached, there would be no GB team participating at next year's Olympics," Boyce said.
(Reporting By Steve Tongue; Editing by John O'Brien)
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