Antonio Conte's men moved into second place in the table on Saturday after a comprehensive 5-0 thrashing of Stoke City at Stamford Bridge.
The hosts raced into a 3-0 lead midway through the first half thanks to Antonio Rudiger, Pedro and Drinkwater as Stoke were brushed aside with ease.
"We're doing well. The more wins we pick up in a row, the better it is for us," he told BBC's Match of the Day.
"We managed the game well. We got off to a good start. We can take confidence from this into the Arsenal game – but it's a totally different game.
"It [the title race] is not over until it's over. So we have to keep on winning."
Drinkwater's sumptuous strike from the edge of the area was his first for Chelsea since moving from Leicester City, and he was delighted to finally break his duck.
He added: "I'm happy with my goal, it's a nice feeling to score."