The Rojiblancos were held to a goalless draw away to Rayo Vallecano last week in their opening La Liga match of the new season, which Simeone watched from the stands.
However, the Argentine - who is serving an eight-game ban for tapping the fourth official on the head during Atletico’s Supercopa victory over Real Madrid - insisted that his team now needed to focus on securing all three points against Gaizka Garitano's men.
"It is the first match at home this season and we have the need to do the right things but we need to improve," Simeone said. "It's not worth stopping to look at the stats.
"The only thing I worry about is the match against Eibar, which is going to be a tough game. Eibar have confidence in themselves, mostly with free kicks and high pace in midfield."
While defending league champions Atletico failed to overcome their city rivals Rayo last week, both Real Madrid and Barcelona notched up victories in their openers.
Simeone, though, admitted that he is not concerned about the fortunes of Real and Barca, insisting that he was only concentrating on his own team’s performances.
"I didn't watch a lot of Real Madrid and Barcelona in the first weekend of La Liga because I was worried about my team than others," he said.
"Obviously I watched more of Eibar because I wanted to follow them. You are there to give an opinion and explanation of the question you made."