Sturridge has only started five Premier League games for Liverpool this season and is in danger of missing out on England's World Cup squad.
Reds defender Dejan Lovren was penalised for a push on Dominic Calvert-Lewin late in the second half, with Wayne Rooney converting from the spot.
Coutinho, 25, wants Liverpool to guarantee that he will be sold to Barcelona at the end of the season.
Adam Lallana made a substitute appearance against Chelsea, which was his first and only appearance this season.
Moreno suffered a tendon problem after seemingly twisting his ankle against Spartak Moscow on Wednesday (6 December).
Philippe Coutinho has already confirmed Barcelona's interest in signing him in the summer. The Brazilian has refused to commit his future at Anfield, despite Camp Nou links.
Klopp insists that noone "with any influence" has told him that Coutinho will leave Liverpool next month.
Jurgen Klopp left Jordan Henderson out of his starting XI for Liverpool's crucial Champions League clash against Spartak Moscow. The Reds won the tie 7-0 at Anfield.
Alberto Moreno is a major doubt for Sunday's Merseyside derby clash with Everton at Anfield, while captain Jordan Henderson looks set to return after Spartak Moscow omission.
Liverpool swept aside Spartak Moscow 7-0 at Anfield to march into knockout stages of the Champions League.
Moreno suffered the injury when stretching to clear just before half-time and looked in some distress as he was brought off.
Liverpool manager Jurgen Klopp has taken to rotating his squad in recent weeks with Sadio Mane understanding of his manager's policy.
Ragnar Klavan and Joe Gomez returned to first-team training on Tuesday after missing Liverpool's clash against Brighton due to illness.
Emre Can is in the final seven months of his contract with Liverpool and can agree a pre-contract with clubs outside England in January.
Jurgen Klopp is unperturbed by the upcoming visit of Everton and will play his strongest team when Liverpool host Spartak Moscow in the Champions League.
Ahmed Hegazi is on a season-long loan with West Bromwich Albion and the Baggies have first option to sign him for $5m. Liverpool are also interested.
Joel Matip will remain absent for Liverpool's Champions League meeting with Spartak Moscow, yet reports that he is set to miss the entire festive period could be wide of the mark.
Liverpool have already wrapped up the signing of Virgil van Dijk for £75m, a world record transfer fee for a defender.
Philippe Coutinho and Daniel Sturridge are the ones who have been linked with a transfer out of the club.
Joel Matip has been ruled out until the New Year after the defender's thigh injury turned out to be worse than first feared.
Liverpool have been adamant in their decision to keep the midfielder, rejecting three bids for the Brazil international last summer.
Jurgen Klopp hopes Ragnar Klavan has recovered from the illness that saw him sidelined for Wednesday's win over Stoke as a muscle problem rules Joel Matip out of Brighton clash.
