The actor told Access Hollywood that he prefers to communicate via the internet as it allows him to be in charge of when he is reachable to family and friends.
"I just don't like phones. I just don't like them... being reachable all the time," he explained.
"We have Internet and stuff like that because I think that's the safest form, well, most interesting form of communication."
Depp is currently promoting his latest film The Tourist, which opens in US cinemas on December 10.