Hakim Ziyech opened the scoring on the counter-attack in the 34th minute and Emerson Palmieri eventually scored the second in stoppage time.
N’Golo Kante and Mateo Kovacic controlled the proceedings in the centre of the park where they came up against the likes of Koke and Saul Niguez.
Following the game, Tuchel was particularly impressed with the showing of Kante and reiterated the Frenchman’s importance to the team.
He told Chelseafc.com: “If you play with NG, you always play with minimum half a man more because he gives an intensity volume that is simply outstanding and this is unique.
“It’s a pleasure to be coach for him and it’s a big gift for me.
“A guy so humble and don’t underestimate his quality in passing, dribbling and escaping the pressure.
“There are still things to improve with him but it’s fantastic to have him.”