The defender has been forced to miss the last two games with a hamstring injury but has stepped up his return to fitness out in Tenerife this week and could figure against the Championship outfit.
Boss Roberto Martinez is unlikely to take any risks and will not play him unless he is fully fit but Boyce is keeping his fingers crossed over a return this weekend.
"It's not quite as bad as we thought, so that's a massive plus," he told the Evening Post. "It's only a grade one, which is nowhere near as bad as the one I had last season when I was out for a couple of months.
"It's just been a case now of nursing it and making sure everything is right before I try and do some proper running, to avoid making it worse. That's what I did last time, and it ruled me out for a couple of months - so I wasn't going to make that mistake again."
Ryo Miyaichi, Antolin Alcaraz, Adrian Lopez, Fraser Fyvie and Ben Watson will also have benefited from the warm weather but are not expected to figure this weekend.
"I'm sure their recovery time will be accelerated, and having those players back will give us a big boost at a really crucial time of the season," Martinez revealed.