Salah twice tested positive for coronavirus during the international break with Egypt, forcing him to sit out the 3-0 win over Leicester City on Sunday.
However, the forward has now tested negative and is back in contention.
“Mo trained yesterday and looked really good. All the tests were negative so he’s available if nothing changes,” Klopp told reporters.
The manager, however, does not yet know how soon the likes of Jordan Henderson (thigh), Thiago Alcantara (knee) and Xherdan Shaqiri (muscle) will be back.
“All the rest – no news. We will see. I don’t want to speak too much about it because I have no idea who Atalanta can bring – so why should we give any information?,” he added.
Predicted Liverpool XI: Alisson; N.Williams, R.Williams, Matip, Robertson; Jones, Wijnaldum, Milner; Salah, Firmino, Jota
Additional reporting by Press Association.