Since arriving late in August, Eto'o has seemingly emerged as Chelsea's first-choice striker.
But Torres, who started in the midweek League Cup win at Swindon, feels that he will be given a fair chance by Mourinho.
"We have great strikers and all of us are going to score goals. It's nice to have this competition. The season is going to be long like the last one. There'll be time for all of us to play in important games and score some goals," he told the Evening Standard.
"The main thing is we keep winning. We are in the top four in the Premier League and have moved one step forward in the [League] Cup.
"We're all fighting to be in the line-up, to be in the squad. It is not easy but is good for the improvement of the team. There are players who have not been involved in the last few matches and the passion and character is plain to see.
"The response of the team has been great. The match against Swindon was my first 90 minutes since the Bayern Munich game in the [Uefa] Super Cup. Sometimes you don't realise you haven't played 90 minutes for a couple of games until you feel so tired at the end."
Torres admits things have changed under Mourinho since he returned to take charge of the club in the summer.
"A new manager always brings different ideas. There are new things that we have to change from the past and that takes time," he said.
"Manchester United and Manchester City have changed their managers so we are in the same situation. It's not an excuse.
"We have a young squad, a very good one. We're working and everyone is getting better. The season has only just started and can be very good. I think we have to go like the manager says, game by game, bit by bit."