Salah is yet to pen a contract extension and his current deal expires in 2023.
Kuyt believes the 29-year-agreeing a new contract is important, but the club equally need to keep the team together.
He continued: “If I was Liverpool, I would do everything to keep the team in the shape that it is now because Mo [Salah] is feeling very comfortable with the players he's playing with.
“So, first of all, I would sign him for as long as possible, but also try to keep the other players on board because it's an amazing team and together with the coaching staff, it's looking very, very good.
“Last season, of course they struggled , but I think it had a lot to do with injuries. Now they are so strong, they've won lots of games and I'm looking forward to the future. Hopefully a long time with these kind of players."
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