Coutinho struck twice against Chelsea, which followed a pretty barren spell of form.
The Brazilian had struck once for the Reds this season prior to Saturday's trip to West London - a late long range strike on the opening day of the season against Stoke City which gave the Reds all three points.
But lately, Coutinho has been struggling to have the kind of impact on games that he will have liked, until Saturday which saw him score with both his left and right foot before Christian Benteke wrapped up the scoring, as Liverpool claimed their first league win under Jurgen Klopp.
In an interview with the club's official website, Coutinho said: "I wasn’t playing so well and hadn’t scored for a while, so I was glad to score again and help the team.
“I hope [it can be a turning point for me], I hope so. Sometimes when you play things don’t always go well, but I always work hard.
“I’m always looking to improve and I hope from now on I’ll continue improving, not only me, but the team, which is the most important thing.”
If there has been a criticism of Coutinho, it is that he hasn't come up with the match-winning performances enough for the team, given the talent the 23-year-old has, though some would argue he is still a little on the young side to have become the side's talismanic figure.
The Brazilian should, perhaps, aim for at least a double figure goal tally in all competitions this season, to build on last season's haul of eight, and given that he is renowned for incisiveness, he should be fairly prolific when it comes to assists between now and the end of the campaign.
Certainly there is a lot more to come from Coutinho, who still has a lot of development left in him before he becomes the finished article. Everybody will want to see improvement with the more experience he gets..