Sir Bruce, 86, announced just over a week ago that he was standing down as co-host of the popular BBC One show after ten years.
Speaking on The Michael McIntyre Chat Show, which airs tonight (14 April), Bruce said: "No, I didn't expect it to make all the fuss it did. I'm very flattered by all that and it's been marvellous."
Bruce, who will continue to present the Christmas Show and the Children in Need specials, continued: "Well it comes to a time when you do get to a stage and say this is enough. And I do get tired doing live telly.
"Live telly is very very strenuous, especially when some of the shows are an hour and 40 minutes long," he continued.
Bruce also suggested that criticism about his age was a deciding factor over his departure. He told Michael: "As I say it's live every week, and if I made a mistake with the autocue, it's big news, 'oh he's 86 years old and past it', and I was getting all that which you don't need it. Who needs it?"
After the BBC announced Bruce's Strictly exit, his co-host Tess Daly paid tribute, telling fans that was an "absolute pleasure and privilege" to work alongside him for a decade.
"I'll miss it like mad," said Bruce. "I really will. It was a big decision, I'd rather do it this year than wait another year."
Although he won't be on our screens, Bruce said he "won't miss one single show" once the new series returns.
"I loved it," he added. "It's the biggest show on television and I had to think very seriously about giving it up but I know it's better for me. It's better for me physically. I'll be able to spend more time with my wife and my family. I'll be able to have little breaks which are good."
Speaking about who will take his place, Bruce said he had "no idea" who will be recruited, adding that the decision is "up to the BBC".
Since Bruce's departure, it has been rumoured that Claudia Winkleman, who currently hosts the Sunday night results show, would be joining Tess on the Saturday night primetime show too.
The Michael McIntyre Chat Show airs tonight (Monday 14 April) at 10.35pm on BBC1 with guests Bruce Forsyth, James Corden and Alex Jones.
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