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Travis Kelce asked Taylor Swift to marry him almost two weeks ago, and he popped the question at a garden in Missouri ... so says the NFL player's dad.

Ed Kelce dished on his son's engagement to the biggest pop star in the world in an interview Tuesday with News 5 Cleveland ... telling the outlet how it all went down. Gallery Launch Gallery

Travis' dad says his son proposed "not quite two weeks ago" and was considering waiting until this week ... but it sounds like Taylor may have been getting a little antsy.

He says Travis wanted to make a big proposal but ended up getting down on bended knee at a garden in Lee's Summit ... surprising Taylor on their way to dinner. Ed says they stopped for a glass of wine and Travis made his move.

After Taylor said

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