The 26-year-old received the ball from a corner and cut inside to whip in a shot which deflected a couple of times before and eventually going in off Saints defender Hoedt.
The Reds have enjoyed a dream start to the campaign as they extended their run to five consecutive victories in the Premier League with a 2-1 win at Tottenham Hotspur last weekend to remain joint top of the table alongside Chelsea.
Liverpool: Alisson, Robertson, van Dijk, Matip, Alexander-Arnold, Henderson (C), Wijnaldum, Mane, Salah, Shaqiri and Firmino.
Liverpool forward Mohamed Salah netted his first league goal since August 25 as the Reds thrashed Southampton 3-0 to make it six Premier League wins out of six and leapfrog Chelsea at the top of the table on Saturday.
Jose Mourinho gives verdict on Man United ahead of Wolves clash
I don't want to say that our improvement has the name of Chris or Victor. I think this is more the influence of the moment.
"No one remembers that, it is really no problem".
'The changes cost us as I changed the system.
"There is always the caveat that he has to stay fit, but if he can avoid getting injured then we know how good he is". "It is so important, in these games especially".
"It is a completely normal situation for an offensive player that they have times when they don't score".
The former Republic of Ireland worldwide established a reputation as one of the Premier League's most prolific strikers during his time with Tottenham, but had limited success after moving to Liverpool for £19m in 2008.