Ruben Loftus-Cheek could have added a fourth in added-on time only for Dahlin to make a timely block at the near post, but Chelsea and Sarri will be more than satisfied with a rare comfortable win ahead of the EFL Cup final with Manchester City and an important Premier League encounter with Tottenham Hotspur.
Second-half goals from Olivier Giroud, Ross Barkley and Callum Hudson-Odoi sent Chelsea through to the Europa League round of 16 with a 5-1 aggregate victory over the Swedes, who also had Rasmus Bengtsson sent off.
But results and performances have gone pear-shaped and it is possible that the Italian will be looking for a new club at the end of the season if things do not improve soon at Stamford Bridge.
'I want to remember you that Callum played 14 matches, there isn't in England another player with 14 matches in the first team.
But Chelsea made a nervous start to proceedings, making life much more hard for themselves than many people thought it would be. We had problems with the fans in the last match at home, so it's normal for the team to enter on to the pitch without confidence.
Following frustration with manager Maurizio Sarri and a string of below-par signings, Chelsea fans have begun to question Marina Granovskaia, mastermind behind the transfers and also known as "the most powerful woman in football".
Evening Standard journalist Vaishali Bhardwaj, in attendance, reported that Sarri was "screaming at himself" following an opening few minutes in which both Mateo Kovacic and Cesar Azpilicueta lost possession.More news: World's biggest bee rediscovered in Indonesia
More news: Antonio Brown told by Steelers to stop hurting his trade value
More news: Zion Williamson slips on opening possession, will not return to game
The Italian manager admitted their loss to Arsenal last month that he is struggling to motivate his players after a hard run of results.
The defender said: "First of all, let's speak about the game tomorrow because it's important for us to stay in this competition and fight to win it. It's the only solution", he said this week, per BBC Sport.
"For playing our football, we need confidence".
'With Jorginho it is easier, I think.
"There isn't another way".
"He did very well at Napoli and even at Chelsea, despite the recent results, he has done a good job".