Chelsea dropped out of the top four as a result of their biggest Premier League loss since 1996.
And Sarri says he feels he owes it to the fans to let them know they are still smarting after a ‘disastrous’ night.
“First of all, we have to say sorry for that because the result was a disaster,” Sarri said.
“I can understand them very well. They have to be patient with us as we are trying to do something great.
“We have to be patient, we will lose matches, but we are trying to do our best.”
Sarri kept his players in the dressing room at the Vitality Stadium for an hour after the game.
He has been publicly critical of his team at times this season and said they were difficult to motivate in an outburst earlier in the campaign.
His methods have been questioned and some reports have claimed he is on the verge of the sack less than six months after taking the job.
However, Sarri insists he still has the backing of his players and insists his criticisms should not be viewed as an ‘attack.’.
“I didn’t attack the players,” the Italian said.
“I talked to them because I needed to understand. Then I went to my home immediately (after the Bournemouth loss) because I wanted to review the match. There wasn’t another reason.
“I said that maybe I wasn’t able to motivate them. If there were some mental problems it could players, technical staff or the club.
“But I cannot think to the club, only the players and the staff. We must be doing something wrong, the staff first of all. So I said we are not able to motivate them.
“In the other match I said it was probably difficult to motivate them. It is a part of my job, of course, but I want to change the mentality.”
Sarri also admitted he might need to change his methods to get the best out of the players.
He revealed he plans to involve them more in discussions in the future and says he might refrain from being so openly scathing of their performances.
“I think my football is co-operation so I need to speak to my players and involve them more than I am doing at the moment,” Sarri added.
“We need to improve in the reaction, the offensive phase as we have a lot of individual players, it is not easy to change.
“In the last game we built up the action in the first half well, but then we were too tight with the offensive players so it was easy for the players to defend.
“We need to stay high and wide. I need to change completely the mentality as they were used to playing in counter-attacks, it is a long way I think but I am trying to change the mentality.
“I want to score and have the right reaction if we concede a goal. We have to just play. We were in control, we have to start again. We have only to play.”
