Fabian Hurzeler's side have had a torrid time in the past few months, with just one victory in 13 league games.
But they did win at Old Trafford in the FA Cup and initially asked questions of Liverpool early on as they kept the ball and quietened Anfield.
But once the Reds found their rhythm, the lack of confidence in this Brighton side was ruthlessly exposed.
Had they taken their chances and equalised shortly after Jones opened the scoring, this game could have had a different outlook - but Liverpool were clinical while Brighton were not.
After their midweek defeat at Aston Villa, Brighton trained at St George's Park during the week rather than head back to the south coast.
But right now, nothing seems to be working for the Seagulls and these are certainly worrying times for Hurzeler.
"It is very important to see the reality of where we are but also the performances - the last two against tough opponents, we were more than competitive," he said.
"The game could go in another direction. We did a lot of things right but we have to keep working hard. We are not in a good moment. You only come out if you work hard."
His side travel to Brentford on Saturday and the pressure will only grow if they cannot get a result there.