Salah - along with Virgil van Dijk and Trent Alexander-Arnold - has entered the final six months of his present deal at Liverpool and is now able to hold talks with clubs from abroad over a prospective free transfer in the summer.
The Egyptian admitted after Sunday's 5-0 win at West Ham that he was "far away" from agreeing a new deal with the Reds.
And Hamann said: "Mo Salah is out of contract but there's a good chance he stays at Liverpool. You can't plan these things, though, and I'm sure he's desperate to get it sorted.
"Any club would be foolish not to show interest in Janua...