The debate over whether or not it should be implemented was reared once again yesterday when Chelsea were awarded a goal against Tottenham Hotspur, despite the ball having not crossed the line.
Blatter has previously been against the prospect of relying on technology but Boyce believes that the 76-year-old has had a change of heart.
"Sepp Blatter was one of the people against it, but you have to remember it wasn't just FIFA, the four British associations were there as well," Boyce told Sky Sports News. "The big problem was getting it right. Getting a system that was quick and precise and a decision could be made instantly.
"So hopefully now after all the testing and after all these years, I think Sepp Blatter is now 100% behind it and not only him but I hope the whole international football board will get behind it and will now get the system that all the public want to see."
Boyce also suggested that the technology could be ready by the start of the new campaign.