The 21-year-old Scot, who has made five appearances for Bury since arriving at the start of the month, is now available to manager Kevin Blackwell for the Boxing Day clash at Preston.
Wylde, yet to make a first-team appearance for Bolton since joining from Rangers in March, was man of the match for Bury in Saturday's 2-2 draw with Shrewsbury.
"I've enjoyed it, really enjoyed it, that's why I want to stay," said Wylde.
"It's been a tough year for me, but since Kevin Blackwell has brought me here and I've played a few games, I've enjoyed getting back to playing football and doing what I love doing."
