In the league, Liverpool have not lost since August 20, taking 20 points from nine games to impose themselves on the top-four battle.
Saturday’s performance was littered with individual brilliance, and with Liverpool supporters rating their contributions after the game, Coutinho stood out as Man of the Match.
The 24-year-old was rated at 8.8 out of 10, in line with This is Anfield’s rating of 9.
Coutinho’s compatriot, Roberto Firmino, was also highly favoured, receiving a rating of 8.4, while Mane, their attacking cohort, was given an 8.1.
Mane’s fellow summer signing, Joel Matip, and Adam Lallana, one of the standout players of the season, were both rated at 7.8, with Dejan Lovren (7.3), Jordan Henderson (7.3), Nathaniel Clyne (7.2), James Milner (7.2 and Emre Can (7.1) also well received.
Goalkeeper Loris Karius was the only player to start the game to be handed a rating lower than 7, and while the German looks to be improved, he was deemed a mere 5.9.
However, Georginio Wijnaldum, who replaced Lallana with 11 minutes to play, was given a rating of 6.7.
After an excellent display from his side against the Baggies, Klopp will now turn his attention towards a League Cup round-of-16 clash with Tottenham Hotspur on Tuesday night, looking to seal passage to the quarter-finals.
Whether the German opts to rotate his squad or not remains to be seen, but he will demand a similar level of performance at Anfield once again.
Note: Ratings correct at time of writing, read ours and let us know yours here.