The Ghost actress has entered a treatment facility following her hospitalisation on Monday night (23Jan12) when paramedics were called to her home.
A spokesperson for the star said, "Because of the stresses in her life right now, Demi has chosen to seek professional assistance to treat her exhaustion and improve her overall health. She looks forward to getting well and is grateful for the support of her family and friends."
Now Moore's famous pals have added their support - in a post on his Twitter.com page, Simmons writes, "thoughts and prayers to Demi Moore", and Longoria adds, "Sending my love and support to one of the most beautiful people i know."
Matlin declares, "Let's give Demi Moore some space and time. Send her good thoughts", while actress Elise Neal writes, "Wishing (Moore) a speedy healthy recovery."
Moore's hospitalisation comes just two months since she split from husband Ashton Kutcher after six years together.