The Bee Gees star, who has reportedly been fighting the disease for months, admitted that he has been "very unwell".
Addressing his fans on his blog, the 61-year-old wrote: "It is humbling and I take your prayers and good wishes for my health very seriously.
"I have been very unwell and am now on the road to recovery, and your prayers and wishes are a great tonic to me."
The 'Stayin' Alive' singer added: "I believe because of you I will get well and my deepest love goes out to you all."
Reports on Sunday indicated that Gibb had been rushed to hospital last week.
> Bee Gees star Robin Gibb cancels David Cameron meeting due to illness
Watch the video for the Bee Gees' 'How Deep Is Your Love' below: