Smith and Reyez co-wrote "Gimme" alongside Jimmy Napes and the Norwegian production duo Stargate, comprising Mikkel S. Eriksen and Tor Hermansen. Smith, Napes and Stargate cooked up a minimalist tropical pop beat with Jamaican producer Anju Blaxx.
Napes has had a long-standing collaborative relationship with Smith since the singer's breakthrough singles "Stay With Me
" and "Lay Me Down
Smith, Napes, and Stargate have worked together on several previous occasions, including "Too Good At Goodbyes
," "To Die For
," and "Love Me More