PNE sacked Alex Neil on March 21 after a poor run of results and placed Frankie McAvoy in interim charge until the end of the season.
McAvoy is high up in the betting having started his tenure with a draw, win and defeat but Wycombe Wanderers boss Gareth Ainsworth is back as favourite.
Here are the latest odds from Sky Bet.
1. Gareth Ainsworth - 2/1
The former PNE player has had the favourite tag for much of the time. He is currently attempting to steer Wycombe out of the bottom three. Photo: Press Association
2. Frankie McAvoy - 4/1
The PNE interim head coach is second favourite with Sky Bet to land the Deepdale post on a permanent basis. Photo: Camerasport
3. Nicky Butt - 4/1
The former Manchester United midfielder was favourite for a while after leaving his post as United's first-team development coach. Photo: Press Association
4. Roy Keane - 7/1
The fiery television pundit who has managed Sunderland and Ipswich, has come up the betting recently. A regular visitor to Deepdale when Republic of Ireland assistant coach. Photo: Press Association