Former Manchester City youth captain Mee completed 90 minutes in Sunday's 1-1 draw with fierce rivals Blackburn at Turf Moor but sustained medial knee ligament damage during the match and is now facing several weeks on the sidelines.
Danny Lafferty and Joseph Mills will contest the vacancy in Sean Dyche's starting XI, with Northern Ireland international Lafferty favourite to get the nod.
Elsewhere Dyche has no other injury or suspension worries as the Clarets look to extend their unbeaten run to four matches.
Wales international striker Sam Vokes came off the bench to seal a point against Rovers but may well have to settle for a place among the substitutes once more.
- Sports & Recreation
- Sean Dyche
- Joseph Mills
- Turf Moor