Sean O’Driscoll has declared his interest in the Pompey job.
The former Bournemouth boss has applied to fill the Fratton Park hot-seat vacated by Steve Cotterill.
O’Driscoll has been out of work since being sacked as Doncaster manager in September.
He is currently on Bristol City’s five-man shortlist to replace Keith Millen.
But The News understands the 54-year-old has also put himself forward for the position at Fratton.
He is one of a number of interested parties to have approached the club since Cotterill’s exit on Friday.
The situation was discussed during a Pompey board meeting before Saturday’s clash with Barnsley.
David Lampitt, Roman Dubov and Chris Akers met in the Jimmy Dickinson Lounge and held lengthy talks over their next move.
There were pre-match rumours Dave Jones was also present at Fratton, although he definitely wasn’t there at kick-off time.
The former Southampton boss has already been made favourite by some bookies.
O’Driscoll is also a much-fancied name thanks to his achievements at the Cherries and then Doncaster.
He has built a reputation for creating attractive footballing sides on a shoestring.
The former Republic of Ireland midfielder took over as Dean Court boss in 2000.
He led them to promotion via the third division play-offs in the 2002–03 campaign.
In 2006, he was appointed Doncaster boss and in his first full season steered them to the Championship via the League One play-offs.
He was dismissed from the Keepmoat Stadium last month with Rovers struggling in the relegation zone and having gone without a win in 19 league games.