The R&B stars were allegedly involved in a nightclub brawl earlier in the month that was rumoured to have been started over Rihanna.
NME reports that Minaj discussed the incident in an interview with Radio 1Xtra DJ Tim Westwood, saying she doesn't approve of "talented people doing things that aren't conducive to an amazing career".
She added: "I spoke to Drake, and I told him from the bottom of my heart how I felt. I'm like, 'Baby, you are a superstar, and I need you to realise that'.
"He did nothing wrong, of course. Rumours are rumours, and that's what it is. Sometimes, you just need to go to bed. Go to the hotel and have an early nap. There's nothing wrong with that."
Lil Wayne has also urged Drake to drop the feud with Brown, but the Canadian rapper maintains that he had nothing to do with the fight and refuses to reconciliate with Brown until he admits that he was not at fault for the incident.
The feud has become so well-publicised that last week celebrity boxing promoter Damon Feldman offered the pair $1 million (£641,000) each to fight each other in the ring.
Minaj herself is no stranger to fight allegations, after being accused of an alleged physical altercation with a maid at her home in October last year.
Watch the video for Rihanna and Drake's 'Take Care' below: