There are some very good teams lying in second place in their respective groups, who Liverpool might face in the next round, but this performance sent out a warning to all teams in Europe that they could struggle to get past them, even though they're a side which hasn't been in the Champions League knockout stages since 2009.
Victory ensured Klopp's side advanced into the knockout phase as group winners and means the Premier League has five clubs in the last 16 of the competition for the first time.
Liverpool can secure a first place finish in their group with a win tonight.
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Spartak's defence had been scrambled from the outset and they were punished for a fifth time in the 50th minute, Coutinho finding space in the area to wrong-foot Selikhov with a deflected effort off Salvatore Bocchetti. Sadio Mane bagged a brace, while Roberto Firmino and Mohamad Salah snagged one apiece. The number nine spotted the run of his Brazilian counterpart at the edge of the box and delivered an inch ideal pass for Coutinho, whose left-footed shot sent Spartak goalkeeper Alexander Selikhov the wrong way.
The Brazilian, who was wearing the armband after Jordan Henderson was dropped to the bench, was on target twice in the opening 15 minutes to dispel any doubts over Liverpool's command of a seeded berth in the Round of 16.
The referee didn't add any time on to save Moscow more torture and the reds finish with a 7-0 scoreline and comfortably top of the group. Salah's delicate touch slid him in, but the Senegal worldwide could only blaze over the bar from 15 yards out. Hitting thumbs down is a vote to push that player closer to the bottom. Coutinho scored his first Liverpool hat-trick, while Mane, Firmino and Salah all found the net to leave the "fab four" with 45 goals between them this season.
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Philippe Coutinho scored a hat-trick in the win over Spartak.
With Liverpool in full control, the game was well beyond the reach of Spartak.
Only four minutes after the kick-off whistle, Mohamed Salah won Liverpool a penalty which Phillipe Coutinho managed to convert to give The Reds an early lead.
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Liverpool's fastest Champions League goal at Anfield after just three minutes and 51 seconds meant there were none of the nerves of Olympiacos, nearly 13 years to the day, when Steven Gerrard set the Reds on their way to a fifth European Cup with his screamer in front of the Kop.