The 32-year-old singer has allegedly been approached to take on the role of Jemaine Clement's girlfriend in the next movie.
Pajiba.com reports that Prince Of Persia actress Gemma Arterton and 30 Rock star Alec Baldwin are also in talks for parts in the movie.
Arterton, who also starred opposite Daniel Craig in Quantum Of Solace, is said to be playing a secretary in the 1969 version of MIB while Baldwin would play the 1969 MIB boss.
Sharlto Copley is also rumoured to have been offered a role as a Yoda-like alien.
The movie sees Will Smith reprise his role as Agent Jay, who travels back in time to meet a younger version of Agent Kay, who will be played by Josh Brolin.