Meaning of “I don't mind if I do” in the English Dictionary

british dictionary

"I don't mind if I do" in British English

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I don't mind if I do

said to politely accept an offer of food or drink:

"There's plenty more cake if you'd like another piece." "I don't mind if I do."

(Definition of “I don't mind if I do” from the Cambridge Advanced Learner’s Dictionary & Thesaurus © Cambridge University Press)