The Premier League
has opposed the move
but Boyce suggests it may have no option but to co-operate with Fifa.
"I would think so. Fifa are the governing body of the game," Boyce told BBC Radio 5 live's Sportsweek.
"Most of the opposition appears to be coming from the Premier League. If Fifa do decide they are going to move it to the winter calendar I would hope it is done in the right spirit.
"I fully understand the Premier League and what is being said here. But it's in nine years' time, not next year or the following year, and [I] would hope people - for the good of football - can sit down and realise a sensible decision has to be made here.
Can Qatar host a summer World Cup?
"I read the Premier League are saying this impacts on three seasons. If people sit down and work out the calendar properly, I don't see why it would affect three seasons."
Boyce confirmed any potential move had not been discussed formally by Fifa's executive committee, which has two remaining meetings this year.
The Northern Irishman also acknowledged that, before
it voted in 2010
to award the event to Qatar, Fifa did not fully consider the implications of playing there during the summer, when temperatures can reach 50C.
"I personally believe this should have been considered at the time. I accept that this should have been considered; that's hindsight," said the former Irish Football Association president,
who took up his current position
in June 2011.
Boyce says his personal preference would be for the tournament to be held from 6 January to 8 or 9 February.
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