New Zealand native Crowe recently asked his followers on social networking site Twitter if buying the West Yorkshire outfit would be a good idea.
The 50-year-old Hollywood star is a Leeds fans and co-owner of rugby league club South Sydney Rabbitohs, who play in Australia's National Rugby League.
Crowe’s passion for sports is well-known, but Brady does not believe that he will take over Leeds.
“He took on and beat the Sheriff of Nottingham,” the 45-year-old wrote in her football diary in The Sun.
“He outfought lions in the Colosseum. But I vouch Russell Crowe will never lead Leeds in anything.”
Brady’s argument, as she goes on to explain in her football diary, is that Crowe would be “barmy” to follow Massimo Cellino at Leeds.
The Italian businessman has said that he will not return as the Leeds president when his Football League ban ends in April, as reported by BBC Sport.
Cellino has already sold his personal stake both in the Eleonora Sport Limited (which owns Leeds) and in the club.
Leeds’s future has once again been thrown into uncertainty, but suggestions that Crowe could buy the club is certain to go down well among the fans.
Whether Crowe is genuinely interested in Leeds or not remains to be seen, but his tweet has certainly sparked a huge discussion in England.