The 71-year-old Glasgow comedian and actor said he did not want to get involved in the debate as he did not want to influence anybody.
He said: "I try to keep away out of it, I don't want to be an influence in it, I don't want to influence anybody.
"A lot of people take your word like it's spun gold as if there's some sense to it, I don't want to influence anybody so I shut up.
"I think the Scots will come to a good conclusion in the referendum, they'll get what they deserve."
Connolly had surgery last year for prostate cancer and was treated for the "initial symptoms" of Parkinson's Disease.
He said: "I'm okay. I'm old and I'm cold. I'm going deaf.
"I'm a lot better than I was, which is a wonderful position to be in. Someone once said growing old is not for sissies, they knew what they were talking about."