Liverpool made the early running at Anfield with Blues keeper Asmir Begovic called into a couple of early saves.
Begovic, brought into the side after Thibaut Courtois fell ill, dived to his right to beat away Adam Lallana’s shot on the edge of the box, before gathering a weaker effort from Phillipe Coutinho.
At the other end, Bertrand Traore got away from Kolo Toure inside the penalty area but couldn’t find the power in his shot to trouble Liverpool keeper Simon Mignolet.
Roberto Firmino stabbed into the side netting under pressure from Nemanja Matic, while Daniel Sturridge, against his former club blazed over.
Eden Hazard came to life with a fierce shot from the edge of the box but Mignolet was equal to it.
Traore started up front in place of Diego Costa, who has a hamstring injury, while a defensive reshuffle was necessary with Branislav Ivanovic (groin) and skipper John Terry (suspended) both ruled out.
John Mikel Obi again started at centre-back, having played there in the win over Bournemouth, while Baba Rahman and Pedro also came into the team.
Meanwhile, academy products Tammy Abraham, Fikayo Tomori and Kasey Palmer are among the Chelsea substitutes.
Subs: Bogdan, Skrtel, Smith, Lucas, Allen, Ojo, Benteke.
Chelsea: Begovic; Azpilicueta, Mikel, Cahill, Baba Rahman; Fabregas, Matic; Pedro, Willian, Hazard; Traore.
Subs: Amelia, Tomori, Kenedy, Loftus-Cheek, Palmer, Pato, Abraham.