His next opportunity to play will come Wednesday against Sevilla in the Champions League. One club, Burnley, abstained.
Coutinho shared jokes with left-back Alberto Moreno before engaging in drills with the rest of his team-mates ahead of the Reds' clash with Manchester City on Saturday, live on Sky Sports Premier League.
The Belgian defender's absence will be a big loss for City, who are looking to continue their winning momentum and keep pace with Manchester United at the top of the table.
The home side have struggled against the Reds in recent times, with just one win in their last seven Premier League meetings, although Pep Guardiola's men haven't lost a home league game in 2017.
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Jurgen Klopp's Liverpool fight against Manchester City on Saturday.
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This season, Lukaku has started as the lone center forward up front for Mourinho, who has mainly utilized the 4-2-3-1 formation. Though the player continued his rehabilitation at the clubs Carrington training base, he was not a contracted United player.
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And sources have told TMZ that the surrogate is due to give birth at the end of January 2018. She is apparently also in excellent shape, which should help the pregnancy go smoothly.
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The Reds - who last won the title in 1990 - thumped Arsenal 4-0 in their last match before the worldwide break.
This really is a tantalising fixture, perhaps even the game of the season so far in terms of potential entertainment and the likelihood of goals.
"With City at the weekend it's off to a quick start and we have to be ready for that but it's all positive and I think we're capable of dealing with it as a team", he added.
The Germany global was injured in December but has returned to training with the first team in recent weeks. Top manager, top club, top players.
"Of course - all good, all good", Klopp told Liverpoolfc.com about his talking with Coutinho since he returned to the team's Melwood training facility. Pre-season, we took care of him and he played all three games.
City will need their key players to be on top form if they are to worsen Liverpool's record, but are now sweating on the fitness of their captain, Vincent Kompany.
"If you are successful you can go until 60 games a season, and nobody should play 60 games", Klopp said, insisting that so many games multiplied for 10 years would be 600 games which he doesn't think "anybody" has "ever had".