What he was required to do, though, he did well, with a £65 million ($85m) addition giving supporters an early look at what he is capable of.
Jurgen Klopp's team just four minutes to take the lead against Serie A opposition - James Milner lashing home left-footed from the edge of the area following Sadio Mane's cut-back.
And Georginio Wijnaldum made it 2-0 soon after, exploiting suspect goalkeeping from Orestis Karnezis to head in Milner's pinpoint cross.
Fans had to wait for Liverpool's third, but it eventually arrived just before the hour as the ball broke kindly for Mohamed Salah in the penalty area and he picked out the top-left corner.
Daniel Sturridge wasted a good chance to get in on the act but soon made amends, smashing home a rebound with 73 minutes on the clock.
And Alberto Moreno wrapped things up a few moments later, beating Karnezis at his near post with a rasping 20-yard drive.
A productive evening for the Reds was only soured by an unfortunate injury suffered by Milner, with the versatile midfielder left requiring 15 stitches following a clash of heads with Mario Rui.
Klopp told the club's official website afterwards: “I knew that he would get stitches because we saw it on the pitch. He’s in the dressing room so I have to see him first before I can say more.
“That’s obviously the big shadow over that game.”
He added to reporters: "James Milner played a brilliant game before going off with a crazy cut.
"[He's had] a lot of stitches, 15, and you don't want that in that position in your face. But then he is quite positive about it, but probably nobody showed him the mirror so far!
"Hopefully it will be good and that's very important. It's not about celebrating the moment, it's about working for the big moments."