The couple are poised to seal the deal in front of friends and family at his home on the 45-acre private island, Little Hall’s Pond Cay in the Bahamas, which he bought in 2004.
Even with a small guest list, accommodation is said to be limited on the island, with Depp’s children, Lily-Rose, 15, and Jack, 12, thought to be staying on his yacht during the celebrations.
The happy couple are ‘in a good place’ despite recent rumours of a split, and have planned the nuptials to fit around their busy schedules.
''She’s filming a movie in London, and he’s getting ready to film the next Pirates Of The Caribbean in Australia. So this is the only time everyone could get together,’ a source told People magazine.
The couple first met on the set of their film The Rum Diary in 2011. This will be Heard’s first marriage and the second for Depp, who was divorced from make-up artist Lori Anne Allison, 57, in 1986.
He did not marry the mother of his children, French actress Vanessa Paradis, 42, despite 14 years together.
Representatives for Amber Heard and Johnny Depp have been contacted by Metro.co.uk for comment.