Jurgen Klopp made some changes to his side following the midweek Champions League defeat to Red Star Belgrade with Shaqiri recalled in place of Adam Lallana to add some creativity in the middle of the park after a poor performance in Serbia.
In the past three weeks - amid a benign run of fixtures for Klopp's side - Shaqiri has set up the victor for Mohamed Salah at Huddersfield with a slide-rule pass behind the defense, scored a well-taken and importantly timed goal at home to Cardiff, and then netted Liverpool's second goal in the 2-0 win over Fulham on Sunday.
Mohamed Salah scored 13 seconds after a Fulham goal was ruled offside, and Xherdan Shaqiri also scored as the Reds moved to 30 points.
Liverpool's early dominance of the ball led to a personal duel between Salah and Sergio Rico, the Fulham goalkeeper twice making good saves to deny forward. Andre Schurrle was stymied by Alisson Becker before the half-hour mark.
The London team's only win since returning to the Premier League was in late August and it hasn't scored a goal in its last three league losses.
In a pivotal 14 seconds the Serbia international's header was chalked off due to a marginal offside decision and Liverpool went straight down the other end to take the lead through Mohamed Salah.
Klopp's selective use of the Switzerland global has been telling in the early part of this season, which Liverpool has started better than any previous Premier League campaign.More news: 3 key races in Florida, Georgia may be headed to recounts
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Klopp's men doubled the advantage eight minutes after the interval when Andrew Robertson whipped in a wonderful ball for Shaqiri to expertly volley into the net.
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He is still only 18 and looks set for a fine career at the highest level, but Sessegnon has found the Premier League a challenge.
The No.4 teamed up with regular central defensive partner Joe Gomez to ultimately keep at bay a Fulham side who forged a series of clear chances in the first half.
Liverpool have now won nine of the last 12 games and Salah has scored in five of the six home league games, while overall he has 34 goals in 36 matches at Anfield since joining the club.