But it was not until the second half that the floodgates opened with Roberto Firmino scoring either side of a brilliant strike from Trent Alexander-Arnold, with Alex Oxlade-Chamberlain completing the rout eight minutes from time.
Jurgen Klopp says his Liverpool side's first thought is to defend, dismissing suggestions his players are only focused on attacking.More news: Successful launch of SpaceX Falcon 9 rocket observed across the Central Coast
Coutinho's moment of brilliance lit up an otherwise boring first half, scoring the 250th goal of Klopp's reign, and it was a trademark finish.
But Liverpool fans have noticed something very cheeky as he rolled in Mohamed Salah's across goal.
Klopp took the conversation as a hint to start the local prospect and the selection paid off, as Alexander-Arnold netted his first Premier League goal in front of the Kop. It's hard seeing it after being at the club for so long.
He added that "after we conceded the second goal, we made so many mistakes, it's unacceptable".More news: Serena set to return to tennis in Abu Dhabi exhibition against Ostapenko
It meant the visitors enjoyed a relatively easy opening 45 minutes, with their one chance a far-post header from Ayew which Simon Mignolet saved at the second attempt. "So good, such a fantastic improvement, development, outstanding, played for the England national team, played for us and was superb". But after the second goal, the confidence completely went.
However, Swansea's hopes of getting anything from this game dwindled when Coutinho dropped a free kick over their defence for Firmino to volley home.
A late Solanke volley, which was nearly identical to Firmino's first, would have been an extra piece of icing on what remained of the Christmas cake, but the young striker will have been pleased with his late cameo nevertheless, just as Liverpool will be very satisfied with their overall display as they extended their unbeaten streak to 14 games.More news: Reliance Jio enhances cashback offer to up to Rs3,300 on Rs399 recharge
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