However, while refusing to believe that the job is done, Rodgers was full of praise for his players after proving that they had made improvements since his arrival at the club last summer.
The Northern Irishman is quoted by BBC Sport as saying: "It was a brilliant performance and now we need to get the job done there. It's a great demonstration of the work the players have made and progressed over the course of the last season.
"You could see the physical courage when I came, but having the ability to be composed, to have maturity, to handle the ball, and have the belief in a shape and understanding of the game, that was perfectly demonstrated tonight."
Last season, Celtic secured a 1-1 draw from their trip to Astana in the third qualifying round of the Champions League.