Burnley could have defender James Tarkowski back for the Carabao Cup match with holders Manchester City.
Tarkowski - linked with moves to Leicester and West Ham this summer - has yet to play this season with a toe injury.
"It's not an impossible situation, it just makes it tougher that's all," Dyche said.
"You are relying on putting together a team very quickly in a very short space of time."
Dyche has had to start the season without Ben Mee, Tarkowski, Jack Cork, Ashley Barnes, Jay Rodriguez, Johann Berg Gudmundsson and Robbie Brady but hopes to have them all back after the international break.