Brighton made it to half time without conceding a third and they came close to halving the deficit straight after the restart, only for Simon Mignolet to make a good save from Murray.
The hosts were still reeling from the opener as Salah and Coutinho broke on the left and Firmino arrived in the box to meet the latter's centre for a simple yet devastating finish.
According to Mundo Deportivo, Liverpool will sell Coutinho for 145 million euros in January, and Barcelona have been informed that this is the asking price. "We are all aware of the reports in the last transfer window and that is the reason", Hughton said. When we get to the market, I probably won't want to discuss these things, either! He has scored five goals and provided two assists in 11 appearances this season.
Instead Coutinho secured the points when he cheekily rolled a free-kick under the wall, and then saw his shot deflected in by Dunk to complete the scoring.
"Along with Manchester City, Liverpool are the best offensively in the division".More news: NBC will conduct internal review of complaints made against Lauer
Gomez knows Liverpool face a run of games which could define their season, with a crunch clash against Spartak Moscow next week as they look to reach the knockout stage of the Champions League.
Hughton watched Huddersfield lose 5-0 at Arsenal on Wednesday when the Terriers were sunk by three goals in a four-minute spell in the second half.
Follow the Football match between Brighton & Hove Albion and Liverpool live with Eurosport.
Adam Lallana is working his way back to fitness after a minor muscle problem hampered his comeback from a thigh injury but it remains to be seen if he'll be ready to be involved tomorrow. However, if you are not a member, you can pop along to our free forums and obtain links to online streams for Brighton v Liverpool that should enable you to follow the Reds this afternoon.
An unfit Dejan Lovren featured in the 3-0 win at Stoke after Klavan pulled out through illness.