The 28-year-old rapper had presented the 32-year-old star with a 15-carat heart-shaped white and yellow diamond ring last month, but insists they are not engaged, reported the Daily Mirror.
When asked about their relationship, the "Amen" hitmaker said, "It's definitely real. But it ain't really time to get married yet. We're still learning each other, feeling each other out."
Minaj, who split from Safaree Samuels in 2014 after 12 years of dating, caused a frenzy when she posted a photograph of the ring on her Instagram profile in April, shortly after writing, "I wish every night could feel like last night."
The couple initially denied they were dating when they were first linked in December, but Meek later confessed he was smitten with Minaj.