West played The Caped Crusader in longrunning 1960s TV show Batman before Michael Keaton brought the character to the big screen in the 1989 movie of the same name.
The superhero was also played by Val Kilmer and George Clooney prior to Nolan's reboot of the franchise with Christian Bale in the lead role. Bale will become Batman for a third time in The Dark Knight Rises, which is currently filming in Britain, and West has reportedly been spotted on the set in Nottingham, England.
Rumours of a cameo appearance from the 82-year-old actor have been fuelled by a report published on Floss magazine's Twitter feed, which reads, "Hollywood big wigs confirmed actor Adam West (Batman on the TV series) will make a cameo on The Dark Knight Rises set to open July 20, 2012".
Movie bosses at Warner Bros. have yet to comment on the report.