Match ends, Bournemouth 1, Liverpool 2.
An experimental Liverpool side won at Bournemouth to record a third consecutive victory in all competitions.
Roberto Firmino's rebound and Daniel Sturridge's header gave the visitors a commanding 2-0 lead at half-time.
Bournemouth rallied after the break but Joshua King's stoppage-time strike came too late for a comeback.
The result lifts Liverpool up to eighth place in the Premier League table, while the Cherries remain 13th.
Liverpool made 10 changes from Thursday's momentous Europa League win over Borussia Dortmund as manager Jurgen Klopp named an inexperienced side.
The fringe players repaid the German's faith with an accomplished performance which preserved their record of having never lost against Bournemouth.
Klopp's faith in youth
Liverpool still have a slim hope of finishing in the top four but winning the Europa League is their likeliest route to Champions League qualification - and Klopp's selection suggested he agrees.
Wales goalkeeper Danny Ward made his club debut and young defender Connor Randall was given a first Premier League start.
Jordon Ibe and his fellow winger, the less experienced Sheyi Ojo, shone as the Reds' youngsters seized control of the first half.
However, it was two established first-team players who made the most telling contributions.
Top scorer Firmino opened the scoring from a rebound after Artur Boruc had saved Sturridge's audacious backheel, before the England striker headed in Ibe's free-kick just before half-time.
Cure for a hangover
A European hangover is an ailment which has undermined Liverpool's Premier League campaign.
Their victory against Stoke on 10 April was only the second time in eight attempts that Klopp's side had won after a Europa League fixture this season.
However, this mature display suggests the Reds are capable of finishing the campaign strongly on both fronts.
With six games left in the Premier League, Klopp now faces a balancing act between Liverpool's domestic commitments and a Europa League semi-final against Villarreal.
Bournemouth under the radar
Given Leicester's extraordinary title challenge, Bournemouth's first Premier League campaign has somewhat passed under the radar.
A run of four wins from their previous six games had Eddie Howe's side targeting a top-half finish, though this defeat is a setback to those hopes.
Bournemouth were competitive throughout against Liverpool, testing Ward on numerous occasions in the second half.
Their perseverance was rewarded with King's low strike in added time, even if the goal was ultimately in vain.
Man of the match - Jordon Ibe
What they said
Liverpool manager Jurgen Klopp told BBC Sport: "They've never played together. They could have defended better, played a bit more football in the first half - but it was really, really good.
"Danny Ward was brilliant. Let the self-confidence grow of goalkeepers, they're normal human beings."
Bournemouth boss Eddie Howe: "The goal came too late for us. We felt in the second half had we got that goal earlier it would have made an interesting end to the game.
"We were missing that spark, especially in the first half. You have to give Liverpool credit."
Stats you need to know
- Liverpool have now won away at 50 different grounds in the Premier League, more than any other side.
- Roberto Firmino has been involved in 12 goals in his past 11 Premier League games (8 goals, 4 assists).
- Daniel Sturridge has scored in each of his past three away league games.
- Joshua King has scored four goals in his past six Premier League games for Bournemouth.
- The Reds have scored at least twice in five of their past six league games away from home, failing to score in the other.
- 3S Cook
- 30RitchieSubstituted forWilsonat 77'minutes
- 19StanislasSubstituted forGrabbanat 45'minutes
- 10GradelSubstituted forPughat 59'minutes
- 4K TouréSubstituted forSakhoat 67'minutes
- 44B Smith
- 33IbeSubstituted forLallanaat 78'minutes
- 11FirminoSubstituted forOrigiat 75'minutes
- Mike Jones
- Shots on Target
Second Half ends, Bournemouth 1, Liverpool 2.
Attempt missed. Steve Cook (Bournemouth) header from the centre of the box is just a bit too high. Assisted by Marc Pugh with a cross.
Callum Wilson (Bournemouth) wins a free kick in the attacking half.
Foul by Joe Allen (Liverpool).
Goal! Bournemouth 1, Liverpool 2. Joshua King (Bournemouth) right footed shot from the centre of the box to the bottom left corner. Assisted by Andrew Surman.
Attempt blocked. Callum Wilson (Bournemouth) header from the centre of the box is blocked.
Attempt missed. Steve Cook (Bournemouth) header from the centre of the box misses to the right. Assisted by Charlie Daniels with a cross following a corner.
Corner, Bournemouth. Conceded by Lucas Leiva.
Corner, Liverpool. Conceded by Artur Boruc.
Attempt blocked. Divock Origi (Liverpool) right footed shot from outside the box is blocked. Assisted by Sheyi Ojo.
Attempt missed. Daniel Sturridge (Liverpool) right footed shot from the centre of the box is too high. Assisted by Adam Lallana.
Callum Wilson (Bournemouth) wins a free kick on the left wing.
Foul by Connor Randall (Liverpool).
Attempt blocked. Joshua King (Bournemouth) right footed shot from outside the box is blocked. Assisted by Andrew Surman.
Joshua King (Bournemouth) wins a free kick in the attacking half.
Foul by Adam Lallana (Liverpool).
Foul by Dan Gosling (Bournemouth).
Adam Lallana (Liverpool) wins a free kick in the defensive half.
Daniel Sturridge (Liverpool) hits the left post with a left footed shot from the left side of the box. Assisted by Adam Lallana.