"I'm Not Giving You Up" is a 1996 song by American singer and songwriter Gloria Estefan. It was released as her third single from her seventh studio album, Destiny. This song was popular more by its single remix by Tony Moran which appears in Estefan's 2001 Greatest Hits Vol. II compilation instead of its original version. In the United States, the song was released as a double single along with the song "Higher". In Europe, it was released to coincide with the European leg of Estefan's Evolution World Tour. "I'm Not Giving You Up" peaked at number 11 in Spain, number 28 in the United Kingdom and number 33 in Scotland. In the US, the song reached number 40 on the Billboard Hot 100.