Saul Niguez tapped home from close range as the ball fell kindly to him from a corner in the fourth minute to send the home fans into a bedlam.
Atletico Madrid were given a wild reception by the fans during and after the game and Simeone insists he has never seen such support since he took charge of the Madrid-based team.
"We started to win the game when we got to the roundabout on the way to the stadium," the Argentine coach said in his post-match press conference.
"The reception was impressive. In the eight years I've been at the club, I haven't seen a reception like it."
Jurgen Klopp’s men could not break a well-drilled Rojiblancos’ defense and ended the match with no shot on target.
He added: "It was the game we were expecting, with a very strong opponent, with different styles on the pitch, with very physically strong players, but we responded very well at the start and then we played the game that we had to play to keep the result.”
"We had chances on the counter attack to score more. We're a team that plays as a group. If the attackers hadn't participated in the defensive work, the team wouldn't have done what it did.”
"It was a good job by everyone. It was a tough, difficult game against a great opponent, but it was clear what the objective was."