The Chelsea manager is keen to fight for every competition available.
The Blues take on the League One side in the FA Cup on Saturday and Mourinho wants his players to be fighting for the quadruple when the end of the season comes around.
Following the game with Bradford, his team embark on a run of important games as they take on Liverpool in the League Cup semi-final second leg, title rivals Manchester City and then Paris Saint-Germain in the last 16 of the Champions League next month.
The Portuguese manager is desperate to be in contention on all fronts, although a cup run would seriously add to their number of games, as they seek to win their first Premier League title in five years.
“To help the title race, the best thing is to lose against Bradford and to lose against Liverpool and to lose against Paris Saint-Germain and to play only Premier League until the end of the season,” he said.
"But not with us. Not with our mentality, not with our way of thinking about our job, not with Chelsea DNA. The other day, a coach of a big team was knocked out of the cup and he was saying 'good, very good, this is perfect for us, now we can focus on the other competitions'. If I lose against Bradford I don't say that. I say it's a disgrace."
Despite his desire to fight on all fronts, Mourinho has admitted that the current fixture congestion makes it almost impossible for his side to win all four competitions. However, such is his desire to win everything, the manager would rather chase victory in every completion and fall short than not bother to try in the first place.
"I prefer it very, very difficult, and congested, and lots of matches, and risk of losing everything," he added.
"But I can't choose matches, I can't choose competitions. I can't. When we lose, we lose. But we want to win."