David Beckham is considering a formal offer from Paris Saint-Germain to extend his contract for another year, Sky Sports understands.
Sky sources say Beckham has yet to decide whether to stay at the club he joined in January, following earlier reports in France suggesting he was likely to leave at the end of the season.
He made the move to PSG on the final day of the winter transfer window, having left LA Galaxy following their MLS Cup final win over Houston Dynamo last December.
The Sky Sports Ambassador has made 10 appearances for the Ligue 1 leaders, although he was dismissed in his last outing against Evian.
He has been widely praised for the influence he has had since going to the French capital, with PSG making it clear they will leave any decision on his future up to Beckham.
Sporting director Leonardo said last month: "He's a leader in the dressing room, it's a privilege to have him with us.
"We are trying to continue with him, but at 38 it's up to him to decide."
Striker Zlatan Ibrahimovic said: "I think he has been very important for us.
"Because in the situation that we are in now, the club has been changing from a normal club to a top club, and Beckham gives you some kind of confidence."
Skrtel's future at Anfield has been the subject of conjecture after losing his spot in the side to Jamie Carragher earlier this year.
The Slovakian international has started just one Premier League game since the defeat to Manchester United in January, fuelling rumours of a possible summer departure.
However, Rodgers claims the 28-year-old remains a long-term part of his plans and that he has reacted well to finding himself out of favour.
"It has been difficult for him and I've acknowledged and recognised that," Rodgers told the Liverpool Echo.
"The great professional he is means his focus has been outstanding and he's trained very, very hard every day and has been there when he's been required.
"We made the change a few months back and I think Jamie Carragher has arguably been one of the best defenders in the league and Daniel Agger has been fresh and played very well.
"It has been unfortunate for Martin but he has been a loyal member of the squad and is still very much part of my plans here.
"He's happy here, he's not in any rush to leave but players want to play. I haven't had any concerns with Martin at all, his attitude has been first class.
"It is important they know where they stand and he knows where they stand.
"He is very much a part of what we are trying to do here.
"We are trying to build up a group with a winning mentality and he's got a winning mentality. It's just unfortunate he lost his place.
"It wasn't so much through his form, it was just I felt we needed more of an organiser and a leader.
"He is certainly a player we want to keep and we have no ideas of selling him. He is an important member of our group."
