Both Andre Ayew and his brother Jordan went close, but a late push for an equaliser wasn't rewarded and it extended Swansea's winless run to six going into their final three fixtures.
Summer signing Salah has led the way in goalscoring terms for the Reds this season, finding the back of the net 43 times in just 47 appearances in all competitions.
Liverpool, meanwhile, edge nine points clear of fifth place, but miss the chance to temporarily move up to second and take a big step towards clinching a top-four spot with two games to spare.
"Millie was good, Clyney good and helped us, we were much more often in the box and stuff like that".
68' - WIDE! Moreno launches a left-footed shot from 25 yards, he should work Butland, but it drifts wide of the Stoke goalkeeper's post.
Jake Livermore's pin-point pass sent Phillips racing clear of the Newcastle defence and the winger lashed past Martin Dubravka in the 29th minute.
"There is not a grey area".
Kim Jong Un promete cerrar instalaciones nucleares norcoreanas en mayo
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Even if the worst does happen, Liverpool would still have the chance of qualifying as champions. Pushed through and got an early exit to prepare for Roma.
A brace from Dusan Tadic guided Southampton to a 2-1 victory over Bournemouth at St Mary's, whilst Josh King found the consolation on the stroke of half-time.
Possibly the strongest of the midfield three, full of industry and impetus but could never quite catch a break. May well have had one eye on Wednesday. It was ruled offside. Another step in a long return to form.
If investigated there is the risk that retrospective action could be taken against him, with the charge likely to be violent conduct or similar.
"I saw everything I wanted to see except fluency and fun and joy", Klopp said.
Georginio Wijnaldum (6): A classic Wijnaldum display in this type of game - a few flashes of promise, but no real impact. Should not be taking corners.
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