Mourinho came close to securing Gerrard's services in the summer of 2005, when he was in charge at Chelsea, with the midfielder contemplating an Anfield exit before eventually deciding it would be too much of a wrench to leave his hometown club.
Gerrard still considers the now Real Madrid boss to be the best in the business, with Mourinho having enjoyed success wherever he has been.
"I would like to play for Mourinho, the Special One," said the Reds midfielder.
Gerrard is, however, totally committed to Liverpool and has no regrets at having snubbed Mourinho's advances on three occasions.
On Chelsea's initial approach seven years ago, he added: "Liverpool weren't really challenging at the time, so there was something to think about.
"But I ended up saying 'no' and a year later I said 'no' again. But he came back when he arrived at Real Madrid two years ago.
"I look at some players who get interest from clubs like Real Madrid and Barcelona and they cause absolute wars to get out and get there.
"But that has never been me and, again, it just wasn't going to happen."