The rumor started circulating around 2002 when *The Matrix Reloaded* and *The Matrix Revolutions* were released. It was a time when Reeves was enjoying a huge surge in popularity, and fans were excited about the prospect of him playing the iconic superhero.
However, the truth is that there is no reliable source confirming this rumor. The director of *Superman Returns*, Bryan Singer, specifically denied that Reeves was ever in the running for the role.
While the rumor may have been fueled by fans' excitement, it remains just that - a rumor.