Sadio Mane gave the hosts the lead, before Jesse Lingard pounced on Alisson Becker’s error to equalize.
Jurgen Klopp introduced Xherdan Shaqiri from the bench and the Swiss forward scored twice to secure victory and ensure they return to the top of the Premier League.
In a post match conference, Mourinho was asked how he can fix what has been a miserable season, he replied: “What do you mean by fix? By win the title? Of course not.
“We can still finish fourth. It’s not easy but for sure we’re going to finish in the top 6, but the best we can get is fourth.”