Swedish woman Ulrika Lillemor Alfa Wonwolf alleges that the WHAM! singer fathered a child with her over 20 years ago.
She says that she fell pregnant after meeting him whilst on holiday in 1997.
She also shared that Michael was aware of the child and had met him in Sweden on several occasions and he'd even helped with child support.
The Daily Star Sunday says that Michael's reps have called the story "fictional".
A source said: "She is claiming that she met George in August 1997 and that they slept together and she fell pregnant."
When alive, George Michael said he had no kids.
During a chat with The Sun, "Thank god I don't have children - can you imagine being George Michael's son or daughter."
The singer was 53 when he passed away on Christmas Day 2016.