A goal from midfielder, N'Golo Kante gave Sarri's side all three points against Crystal Palace.
Goalkeeper: Kepa has continued to impress between the sticks since arriving last summer and got another clean sheet during the win at Crystal Palace over the weekend so he's certain to retain the gloves ahead of Willy Caballero.
After a sterile first 35 minutes, Willian smacked the post with a swinging free-kick and Ross Barkley hit the same upright soon afterwards with an acrobatic overhead effort.
Kante has sometimes looked out of sorts in his different position this season, but he showed signs of getting to grips with it on Sunday, scoring the victor at Crystal Palace with a well-timed run and cool finish.
The Brazilian duly put the France 2018 FIFA World Cup victor on to score from close range.
"As a winger, he has to improve in the defensive phase, but he has the potential to become a very important player, not only for English football I think but for European football".
Injuries to Ruben Loftus-Cheek, Cesc Fabregas and Danny Drinkwater also lessen Sarri's options in the middle of the park, though it's unlikely any of them will have been involved in this one regardless of their fitness.
"It was very hard at the end of the game but we were able to fight and get the win".
Chelsea forward Olivier Giroud had two goals ruled out for offside and then was forced off injured.
Sarri said: "He [Hudson-Odoi] is a very good player, the potential is there for becoming a great player, and now he has to improve".
"When we have to play against opponents who are very low, it's hard for the striker and wingers to find space". So, we had to have possession.
"It's not easy, and I think that we are lucky because we have [Ethan] Ampadu, we have [Andreas] Christensen, we have [Hudson-Odoi], so we are lucky".
Sarri added: "For 85 minutes we were in full control without conceding anything to the opponents".