Johnny Depp. Photo by Jordan Strauss/Invision/AP

Johnny Depp and Vanessa Paradis' son is doing "fine" and feeling "a lot better", despite fears for his health earlier this week.

The former couple's 16-year-old son Jack was reported to be suffering from "serious health problems" earlier this week after the 45-year-old actress pulled out of attending the premiere of her movie 'A Knife in the Heart' in Paris, France, to be with the teenager, but insiders say he is on the mend.

A source told People magazine: "He's fine and doesn't have a health issue."

On Wednesday, the day after the film screening, Jack was seen walking around with a female friend close to his mom's apartment and looked "a lot better".

Following the news of Jack's illness, it was speculated that 55-year-old Johnny - who also has daughter Lily-Rose, 19, with his former partner - would cut short his European tour with the Hollywood Vampires, but it seems he's planning to carry on with the shows and will reunite with his family in a few weeks.

A source said: "He will spend time with both of his kids once the tour is over in July. Johnny is doing great."

'A Knife in the Heart' director Yann Gonzalez has caused the speculation about Jack's health after explaining Vanessa's absence from the premiere.

He said: "Unfortunately, Vanessa Paradis was not able to join us tonight, she had to be absent because of her son's serious health problems."

This isn't the first time Johnny and Vanessa - who never married but spent 14 years together until they split in 2012 - have had to deal with a health scare as Lily-Rose was rushed to hospital in London in 2007 when she contracted e-coli poisoning. 

It was said to be "touch and go" for the actress for a little while after the illness - which is commonly caused by improperly cooked meat, unpasteurised milk or water contamination - resulted in temporary kidney failure. 

The 'Yoga Hosers' star's stint in a children's hospital inspired her father to try and cheer sick children by visiting them dressed as his 'Pirates of the Caribbean' alter ego, Captain Jack Sparrow.

Johnny said after her recovery: "When my daughter was ill in Great Ormond Street, it was the darkest period of my life. I'd always done these visits but after that experience the visits became more and more important. 

"The kids [at the hospital] are so courageous but to be able to bring a smile or a giggle to the parents means everything in the world to me."