A Labour Party source claimed that the corporation's tribute to the former Prime Minister was a "ghoulish" decision due to his age.
"It seems in pretty poor taste that the Beeb is already preparing for Tony's death," the insider told The Sun.
"He is still a relatively young man who I'm sure has got a lot of years left in him yet."
Now 58, Blair was the youngest Prime Minister in nearly two centuries when he was elected in 1997.
A BBC spokeswoman said: "We don't comment on obituaries."
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