According to the Sun, Poyet is top of Portsmouth's list of candidates having impressed the board with his work at Brighton who finished the season mid-table in League One having survived an early relegation threat.
Avram Grant linked with Czech Republic roleAnd with Portsmouth's financial situation well documented this season the board will without doubt be tempted by the minimal amount of compensation they would stand to pay Brighton in order to secure Poyet, whose current contract expires in 12 months.
Portsmouth face their final test of the season against Chelsea in the FA Cup final this weekend, and despite being underdogs, Hayden Mullins is adamant the club can use that to their advantage.
Citing the fact that against all odds they managed to beat Tottenham for a place in the final, Mullins said: "There is no pressure on us - the pressure is on Chelsea. The longer we keep them silent the more the pressure mounts.
"We know it's really tough but we can still get a result. It's been a difficult season but we've just tried to get on with things."