The 25-year-old has been in fine form for the Cherries during the 2025-26 campaign, scoring seven goals and registering three assists in 15 Premier League appearances.
The forward has a £65M release clause in his contract, which becomes active on January 1st which has generated interest from several Premier League sides who will rush to grab his signature.
With Ghana failing to qualify for AFCON, there is also no mid-season tournament absence to worry about for the clubs looking to sign him, which includes Manchester United and Manchester City.
Speaking to Sky Bet, Souness believes that Semenyo should instead think about a move to Merseyside and to champions Liverpool.
“I would make the most of (Semenyo) if I was a Bournemouth supporter because you might see him beyond this Christmas, but I'd imagine he'll be away in the next window if he continues like this.
“He’ll be best suited to Liverpool, if Salah goes. Very different, but if you had asked me before (Alexander) Isak went to Liverpool, I'd have said tailor-made for Liverpool. That was a no-brainer on paper. So, I'm saying the same about Semenyo.
“Semenyo going to Liverpool and that team in front of that crowd, they would love him as well because he'll run through people and over people. He's got that aggression and he's got qualities as well.”
Clubs in Saudi Arabia have shown an interest in Salah in recent weeks after his recent comments over his treatment by the club which sparked January rumours. If he does depart, Semenyo may be a straight replacement for manager Arne Slot and his side.