Pope sat out the 4-0 home defeat to Leeds on Saturday with a knee injury, and Sean Dyche said the 29-year-old is "touch and go" to return for the final home game of the season.
Alex Oxlade-Chamberlain returns to Liverpool's squad after missing Sunday's dramatic win at West Brom due to illness.
Fellow midfielder James Milner resumed training on Tuesday and could come into contention for a place on the bench which contained four academy graduates at the Hawthorns.
Forward Diogo Jota has a small chance of being fit for the final game of the season at the weekend after a second scan on a foot injury revealed the problem was not as bad as first feared.
Burnley provisional squad: Pope, Peacock-Farrell, Norris, Lowton, Tarkowski, Mee, Pieters, Taylor, Nartey, Dunne, Driscoll-Glennon, Gudmundsson, Brownhill, McNeil, Westwood, Cork, Richardson, Wood, Vydra, Rodriguez, Barnes.
Liverpool provisional squad: Alisson, Alexander-Arnold, Phillips, Williams, Robertson, Fabinho, Thiago, Wijnaldum, Oxlade-Chamberlain, Salah, Firmino, Mane, Adrian, Kelleher, N Williams, Tsimikas, Koumetio, Clarkson, Milner, Jones, Shaqiri, Woodburn, Origi.