Sunderland are continuing their search for the club's next manager.
The current Burnley boss is a 5/4 option, with Allardyce just behind at a best price of 5/2 as things stand.
If it comes down to a straight choice between the two for the Black Cats, it will be interesting to see which way they go.
Dyche is appealing, but Burnley have just been relegated from the Premier League, whereas Allardyce has proven experience in terms of consolidating teams in the top flight of English football.
The odds for a trio of outside options in Philipp Cocu, Steve McClaren and Michael Laudrup have all drifted out in the betting and further away from the two favourites.
The price for David Moyes has shortened slightly, but he is still considered a massive gamble for anyone betting on Sunderland’s next manager.
The club have to get the decision right because they will want to avoid a repeat of the struggles which plagued the club last season as they battled to stay up.