With Neil Harris ruled out a short-term appointment, the main contenders are beginning to solidify in the market to become Kenny Jackett’s successor.
And there has been a rush of punts on one man in particular over in recent hours.
We’ve broken down the very latest odds from Sky Bet over who could be the new boss at the helm.
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1. Next Pompey manager market
Pompey are looking for a new manager - these are the latest odds Photo: Adam Davy
3. Bob Bradley - 25/1
The American connection with the Eisners no doubt the reason for his name popping up Photo: Alex Menendez
4. Neil Lennon - 25/1
Former Celtic boss on the lookout for a new job after Parkhead exit last month Photo: Ian MacNicol