Liverpool boss Jurgen Klopp says Alisson returned to training yesterday.
Alisson has missed the past fortnight due to injury.
Ahead of tomorrow's trip to Crystal Palace, Klopp said: "Alisson looks good but I don't know if he will be good enough for tomorrow, we have to check that with the medical department and Alison himself of course.
"Alexis Mac Allister doesn't look good, so we have to see day by day. We were hopeful after the game that it's not serious, we have to wait to see how he shows up here today, I don't expect him to be ready tomorrow. It's stop and go, well have to see.
"Alisson is back in training since yesterday."