The veteran was not involved at Melwood, but Naby Keita did train with the rest of the first team.
Milner missed his side's 3-2 win over West Ham United this week due to a muscle strain.
And he is still not 100 percent, per the Liverpool Echo.
The Reds have a healthy 22 point lead in the Premier League, which means missing a few players is not a significant issue.
But they will hope to get these players back for their Champions League round of 16 second leg against Atletico Madrid on March 11th.