The Reds host Chelsea on Saturday afternoon in the late kick-off.
And Nevin thinks last night's nightmare second-half could have a lasting effect on Jurgen Klopp's side.
“That's going to be a hard one to take," he said on Radio 5 Live.
“On top of that they were so close (to qualifying) that's going to have a psychological effect as well.
“If you're at Anfield and you're playing against Spartak and you're 1-0 up with five minutes to go or you're drawing 0-0, you'll still be panicking because you know what's happened in this group.
“So they have to make sure that psychological blip doesn't happen."