Gloria Estefan & Miami Sound Machine - "Can't Stay Away From You" 🥀💋❤️ (1987) "Can't Stay Away From You" is a song by "Gloria Estefan and Miami Sound Machine". The song was released in November 1987 by Epic as the third single from their multi-platinum album, "Let It Loose" (1987). It becomes the group's fifth "Top 10 Hit" in the United States, peaking at No. 6 on "The US Billboard Hot 100 Chart". It was their second No. 1 hit on "The Adult Contemporary Chart", following 1986's "Words Get In T