The Egyptian made no mistake as he fired home to finish off a well-worked goal from the away side.
Salah is already Liverpool's leading Premier League scorer and took the title in their 7-0 thrashing of Manchester United in March 2023.
But he went one step further in the top flight by equalling the overall tally set by club legend Fowler on Sunday away at Arsenal.
The 32-year-old's goal is his 163rd in the Premier League, most of which have come for Liverpool but his first two were with Chelsea.