A source has earlier revealed to E! Online that the 51-year-old actor was completely in love and could not wait to marry Heard.
Depp and Heard first met on the set of their film The Rum Diary in 2010 and got engaged in January, 2014.
They stepped out as a couple in 2012 after Depp split with longtime partner Vanessa Paradis.
According to People magazine, a bigger wedding is scheduled to take place this weekend on Depp's private island (Little Hall's Pond Cay) in the Bahamas.
Photograph: Dimitrios Kambouris/Getty Images
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