Wolves pushed hard in the second half but could not find an equaliser this time.
Liverpool are already out of the EFL Cup and faces an FA Cup third-round replay with Wolverhampton Wanderers on Tuesday evening.
Erik ten Hag secured his first win as Manchester United manager with a 2-1 victory over Liverpool at Old Trafford.
Firmino doubled their advantage not long after coming on and Salah wrapped up an impressive first showing from the Reds.
Kyle Bartley saw his goal ruled out as the Baggies nearly caused an upset before Alisson’s late heroics.
They created enough chances to have clawed back the two-goal deficit but goalkeeper Thibaut Courtois was hardly extended.
Tierney is reportedly facing several weeks on the sidelines with the injury he sustained against Liverpool in the same area.
LIVERPOOL: Klopp’s men turn their attention to the Champions League on Tuesday when they face…