TMZ broke news of the Hollywood actor's arrest for drunk driving, his subsequent tirade of anti-Semitic abuse and an alleged cover-up by the police.
The publicity created by the Gibson story may have forced a move into TV up the expansion agenda for co-owners AOL and Warner Bros Telepictures.
Last week's Gibson scoop even pushed parent company AOL into position as the fourth most popular search engine in the US.
Launched in December, the website has quickly earned a reputation for breaking high-profile entertainment news and already boasts around 10 million unique users.
A move into TV was part of the long-term expansion strategy for the site - along with adding pages focused on TV and fashion and embracing user-generated content - but in "the last few days there have been more calls about it", Jim Paratore, president of Warner Bros Telepictures, told Broadcasting and Cable.
"When you break a story of that magnitude, it really establishes the TMZ brand as a credible source.
"That is hard to do in a very congested media world," he added.
However, it is unclear if any possible move into TV will happen before autumn next year.
According to Broadcasting and Cable it's expected that TMZ.com managing editor Harvey Levin and Lisa Gregorisch-Dempsey, senior executive producer of Telepictures' syndicated news magazine show Extra, will act as executive producers to any possible TMZ show.
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