The 'Big for Your Boots' hitmaker had ''the greatest conversation'' of his life with the pair and is desperate to work with them after getting the chance to meet them.
He told Q magazine: ''It was the greatest conversation of my life. One day I'll reveal it. One day we'll talk about it. It's what I started my Glasto performance with, a clip of it.''
Stormzy admits that he is unsure if he will get the opportunity to work with them, suggesting that they are ''very busy people''.
When asked about the possibility of them working together, Stormzy said: ''I'm don't know about that. They're very busy people. But God willing.''
The 26-year-old featured a snippet from the conversation with Jay Z when he headlined the Glastonbury festival earlier this year.
Before the performance, Jay Z, 49, could be heard telling Stormzy about the importance of culture.
He was heard saying: ''It's important for you to take that and say, 'Okay, how can I create a culture around this whole thing?' Because culture moves the whole world.''
Stormzy also thanked Jay Z in an Instagram post after the performance.
He said: ''I got to open my set with words of encouragement from my hero and ultimate inspiration and the greatest rapper to ever grace planet Earth, Jay Z.''
Meanwhile, Stormzy also admitted that the performance at Glastonbury felt like the ''big finale'' to his career.
He explained: ''I thought my first album was everything, but with Glasto, that felt like the absolute summary and epitome of everything.
''It felt like the defining moment of my career. It felt like everything I stand for, all my music, every moment, everything, all in one performance. It felt it was like my big finale.''
Kai Whiston is back already with his second album of his own 'No World As Good As Mine', and this time he has the help of organic instruments.
Her debut album The Witching Hour is out soon.
Feet are mid-tour and promoting their debut album, and tonight they played Ramsgate Music Hall with support from local band Malpractice.
Famed for performing one of her own songs as her opening gambit on The X Factor, Lucy Spraggan rocked up at the Booking Hall as part of her UK and...
After nearly thirty years since his first solo record Mark Lanegan has just released one of his very best and there's not many artists who can claim...
Listen to their new single 'People Change'.
For the first, and almost certainly last, time Cambridge indie rockers Mallory Knox performed at The Booking Hall in Dover.
'Devour You' is a fantastic follow up to Starcrawler's debut album and represents a move on in terms of sound and, in part, direction.