Gullit, who has continued to follow Chelsea since serving them as a player and manager in the Nineties, says Mourinho must improve the method of his team's play to satisfy owner Roman Abramovich.
Gullit warned in the Daily Express: “He had to leave because he did not win the Champions League and they didn’t like the football the team were playing.
“That is something that Jose has to think about. Abramovich knows what he wants. He loves good football. He loves to see a good game – a team who are dominant and play fluid football, a team who play in an elegant way.
“I don’t know if it will all end in tears. Jose knows how to win. He would rather win than play sexy football. If you can win and play sexy football, that’s a very nice combination. That is what Abramovich wants.
“Mourinho confused things the first time by bringing so much success. But Chelsea were not Barcelona or the Milan team I played for in the Eighties. That is what Abramovich wants. He wants to be remembered for the good football his team played.
“I have a feeling Abramovich wants to leave a legacy. He doesn’t only want to win, he wants to do it in a certain style. He feels he is entitled to that, it’s his club. I hope Mourinho sees that. But he has his philosophy and will stick to it. He wants to win and he knows how to win games.”