"We want to go to the next round and we know we now play Maribor twice".
Liverpool's relentless approach tailed off as the second half wore on, but Alex Oxlade-Chamberlain opened his account for his new club having earlier missed a great chance, before Trent Alexander-Arnold finished off the scoring as the Reds recorded the biggest away win from an English club in Europe's premier competition.
Darko Milanic does not have a lot of injury concerns to deal with ahead of the visit of Liverpool, but the Maribor boss will be without centre-backs Marko Suler, Denis Sme and young striker Luka Zahovic for Tuesday's home encounter.
Normal service resumed after the break when Firmino managed to get his second of the night, glancing a header past Jasmin Handanovic in the aftermath of Coutinho's saved free kick.
"The next game is Tottenham so it's pretty likely it will not be a similar result".
Klopp, who pre-match admitted he had been impressed with £35million deadline day signing Oxlade-Chamberlain in recent days, felt the goal would be hugely beneficial to the England worldwide. The manner of victory and performance will not come as a surprise to approximately 800 supporters who made the trip to Slovenia.
MohamedSalah is now Liverpool's top goalscorer with eight goals and will hope to continue his fine form when his side face Tottenham on Sunday, October 22 at Wembley Stadium.
The rout was complete with two late goals. Adam Lallana (thigh) and Nathaniel Clyne (back) are long-term absentees, with neither player any closer to returning to full training just yet.
Such are Liverpool's attacking options at present, dynamic England midfielder Oxlade-Chamberlain has had to be content with a place on the bench since his arrival from Arsenal in August. Tuesday night, though, was just his third start of the season.
"I said he needed a little bit of time and my most positive thing was that finally he has arrived, but it always takes time".
As a consummate professional, Milner still has the fitness levels to play in the engine room which, in Klopp's system, demands lung-busting runs into the penalty area.
It's a mystery as to why James Milner doesn't start more often for Liverpool.
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