Johnny Depp and Amber Heard are still "very much in love"

And an insider said: "They've always been together. They travel for work then come home. They live together and are very much in love, despite what's being said about break-up rumours."

But the 51-year-old actor and 28-year-old have allegedly been fighting "a lot" recently.

The source told E! News: "They are very much in love with each other, but because of their strong personalities and opinions, they do argue a lot."

Johnny, who was forced to undergo surgery in Los Angeles after injuring his hand, is expected to resume filming 'Pirates of the Caribbean: Dead Men Tell No Tales' in Australia amid reports he upset the schedule by failing to show up to the set last week.

But the film's publicist Michael Singer told The Brisbane Times: "His return depended on his recuperation from surgery and when his physician allowed him to travel. It was entirely dependent on that."