The clip sees Minaj dancing around and attempting to lay down a rap, while LL Cool J beatboxes before he is criticised for not doing it fast enough.
LL Cool J has been confirmed as the host for this year's Grammy Awards ceremony at the Staples Centre in Los Angeles on February 8.
Minaj will be performing new track 'Roman's Holiday' on the night, which has been lifted from her forthcoming album Pink Friday: Roman's Revenge.
The star is also up for 'Best New Artist', 'Best Rap Performance' for 'Moment 4 Life' and 'Best Rap Album' for her debut Pink Friday.
> Grammy Awards 2012: Major nominees
Watch Nicki Minaj and LL Cool J in the Grammy Awards 2012 trailer below: