Naby Keita had a shot blocked after loose defending inside the Bournemouth box before the hosts flickered into life when a determined run by Josh King took him to the edge of the Liverpool area but he scuffed wide.
The Egypt global had not scored in three games before Saturday's game, but took the match ball home as Liverpool equalled their record of 17 Premier League matches unbeaten.
Eddie Howe, however, has downplayed the severity of Wilson's hamstring injury and has indicated that the striker will only be sidelined for the short term. Top of the table and three goals, it was a fantastic win today. We could create more but all the runs, all the little runs, we did, they came all together and we benefited for the first goal. "It's important, but it's not the most important thing in the world - that we beat any team's record from 30 years ago or whatever".
"With Dejan Lovren and Joe Gomez out we have to think about that when we can, but he is ready to go again and it's good". Football is a game in which you will never see a ideal game.
Liverpool defender Joel Matip has claimed that the Reds are only focused on improving their game rather than keeping an eye on leaders Manchester City, ahead of a "tough" game against Bournemouth on Saturday. We need everyone to play their part.
The Reds are involved in the Premier League's early kick-off on Saturday and travel to the Vitality Stadium knowing a win will see them move above Pep Guardiola's reigning champions in the table. "Be relaxed, completely relaxed", Klopp said.
Liverpool had demonstrated resilience to win on Wednesday against a physical Burnley side whose approach drew an angry reaction from Klopp.
Now getting back into his most imperious stride after a slow start to the campaign, Salah added: "My expectations are very high".
Ralph Hasenhüttl's start to life as Southampton manager got off to a bad start as Callum Paterson scored the victor in a 1-0 victory to move Cardiff up to 14th and three points clear of the bottom three.