Gibb's representative Doug Wright confirmed to the BBC that the singer is showing signs of recovery and has been able to nod and communicate with his family.
Gibb, who is widely believed to have been diagnosed with colon and liver cancer, was hospitalized last week after contracting pneumonia.
Gibb's wife, Dwina, told her hometown paper in Ireland, the Impartial Reporter, that the family had continued to maintain a vigil around the singer's bedside and had been trying to "bring him back" by playing music and singing for him.
"His brother Barry, his wife Linda and son Stephen came over from America. Barry was singing to him. Thousands of people are saying prayers every day," she said, adding that Gibb cried when she played Roy Orbison's song "Crying" for him.