The American singer wrote on Twitter: “Life is a gift – even with Alzheimer’s.”
Alongside a link to the article announcing his diagnosis, he added: “Thank you to [my wife] Susan and my family for their support, and AARP The Magazine for telling my story.”
Neurologist Gayatri Devi, who diagnosed Bennett, told AARP the singer has “an amazingly versatile brain”.
She said he has some “cognitive issues, but multiple other areas of his brain are still resilient and functioning well”.
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Ms Devi added: “He is doing so many things, at 94, that many people without dementia cannot do.
“He really is the symbol of hope for someone with a cognitive disorder.”
Ms Devi said she urged Bennett’s family to keep him singing as it “stimulated his brain in a significant way”.
However, the I Left My Heart In San Francisco singer’s condition is worsening, according to AARP.
“Bennett, who first diagnosed in 2016, has so far been spared the disorientation that can prompt patients to wander from home, as well as the episodes of terror, rage or depression that can accompany Alzheimer’s’ frightening detachment from reality; and, indeed, he might never develop these symptoms,” the article stated.