'Angels' star Williams, who has a long-standing interest in the supernatural, will apparently help the Grammy winner deal with the spirits at her Sussex ten-bedroom mansion.
The Daily Star reports that Adele asked the singer, who she met at the Brit Awards in 2008, because he is a close friend.
"Adele's often said she hates staying at home alone in the mansion because she's sure it's haunted and she gets spooked," an insider alleged.
"She knows Robbie and Ayda are fascinated by the supernatural and has offered to have them to stay for a haunted weekend any time they like.
"Adele thinks they are both fantastic and would love to spend some time sharing ghost stories and witnessing paranormal activity."
Williams, 38, has previously claimed that a ghost lives in his LA home.
Meanwhile, he was once reportedly interested in hosting a TV show in a similar vein to Living's Most Haunted.
> Robbie Williams reveals 'alien encounter': "It was magic"
Watch Robbie Williams performing 'Ghosts' below: