The duo, on loan from Fulham and Reading respectively, missed the 1-0 weekend defeat to Lancashire rivals Blackpool after being laid low by a stomach bug.
Kacaniklic comes back into contention for a starting role in midfield, while left-back Mills' absence was particularly untimely having made a first start since December when the Clarets beat Bristol City 3-1 a week earlier.
Experienced defender Michael Duff remains sidelined with a calf problem but Dyche has no new injury worries as he prepares to face opponents he overcame in his second game at the helm back in November.
"The challenge never changes," he told Burnley's official website. "We want as many wins on the table as we can and we have four big, important games left.
"We are looking forward to them, working hard and looking to earn the right to get all three points."