The Reds are now only six points behind fourth-placed Tottenham, with a game in hand over the Spurs yet to be played. Meanwhile, the Wolves remain in 15th place, just three points above the relegation zone, due to their lack of a goal threat.
The match between the two teams was the fourth meeting in less than two months, but the first half was dull, with Harvey Elliott having the best chance to score for Liverpool. However, the Reds managed to keep their fourth consecutive Premier League clean sheet after their recent humiliating 5-2 loss to Real Madrid.
Liverpool's manager, Jurgen Klopp, will be pleased to have more attacking options for the remainder of the season, with Diogo Jota back and Luis Diaz close to a return.
Jota was involved in breaking the deadlock, as he assisted Van Dijk, who scored with a header after Sa parried his first attempt. Liverpool's second goal was scored by Salah, with an assist from Tsimikas, after a rapid counter-attack.
Liverpool's next match will be against Manchester United, who will pose a significant challenge to Liverpool's road to recovery. Nevertheless, the Reds are back in the race for a seventh consecutive season of Champions League football.