"I'm Not Giving You Up" is a song by Gloria Estefan, released as her third single from her seventh studio album Destiny. The song was released on November 19, 1996 in the United States, November 25, 1996 in the United Kingdom and the rest of the word on November 29, 1996. This ballad was released as the third single from the album, this song was popular more by its single remix which appears in Estefan's 2001 Greatest Hits Vol. II compilation instead of its original version.

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