The Clarets have been backed by bookmakers for an immediate return to the Championship, while Palace's odds for the drop plummeted following the departure of Tony Pulis on the eve of the season.
Neil Warnock collected a point from a trip to Newcastle United in his first game back in charge of the Eagles, and returns to Selhurst Park this weekend for the first time since leaving the club in 2010.
Finding the net could be a problem for the Lancashire outfit, who have gone 340 minutes without scoring in all competitions. Sam Vokes is still sidelined and last season's leading marksman Danny Ings is yet to open his Premier League account from three games.
Dyche may be hoping that the £2.5m club-record addition of George Boyd on transfer deadline day will provide his side with a greater goal threat, and the creativity from which Ings can start firing again.
The former Hull City attacker should make his Clarets bow in the capital, but Burnley's success has been built upon stability and therefore Dyche is unlikely to panic into making many more changes.
Joel Ward has been deputising at full-back and in midfield so far this term, and the versatile 24-year-old could be ruthlessly dropped if Warnock decides to accommodate two of his deadline-day signings.
The well-travelled manager also has Wolverhampton Wanderers loanee Kevin Doyle in reserve, and the Irishman will probably be named on the bench, with Zaha playing a supporting role to Dwight Gayle. Marouane Chamakh and Joe Ledley are both injured for the hosts.
Possible starting lineups
Palace: Speroni; Kelly, Dann, Mariappa, Fryers; Bolasie, Jedinak, McArthur, Puncheon; Zaha, Gayle
Burnley: Heaton; Trippier, Shackell, Duff, Mee; Arfield, Jones, Marney, Taylor; Boyd, Ings
Sports Mole says: 2-2