Salah missed Liverpool’s impressive 3-0 victory over Leicester City on Sunday night that put the defending champions level on points with league leaders Tottenham Hotspur, having contracted coronavirus while on international duty over the last two weeks.
The Egypt international tested positive for the virus following his arrival in Cairo a week last Wednesday, before testing positive again in the lead up to Liverpool’s Premier League resumption against Leicester, ruling him out of the Anfield match.
But speaking after the victory, Klopp confirmed he is looking forward to welcoming the 28-year-old back to training this week, with their Champions League campaign resuming on Wednesday against Serie A side Atalanta.
"That's what I've heard, a negative," Klopp said. "I think from now he is pretty normal in all the testing. On Monday, we have Uefa testing and I am pretty sure he will be in that.
"He can train with us. There are two tests in the next two days so he will be tested."
Klopp also confirmed midfielder Naby Keita had sustained a hamstring injury against Leicester, joining defenders Virgil van Dijk, Joe Gomez and Trent Alexander-Arnold on the injury list.
Keita was withdrawn after 53 minutes and replaced by Neco Williams.
"He (Keita) felt his hamstring and was not able to play on, otherwise he would have stayed on the pitch," Klopp said.
Klopp saw a patched-up defence hold out Leicester on Sunday in one of their most impressive performances of the season so far, with Fabinho joining Joel Matip paired at centre-back with James Milner filling in at right-back.
Additional reporting by Reuters