The hip-hop superstars sampled the late singer's classic tune for their track 'Otis' on their The Throne project, but had to get permission from the late soul singer's estate - looked after by¬ daughter Karla Redding-Andrews and his wife, Zelma Redding - before using it.
Karla said: "When it was brought to us, it was quite interesting. We wanted to, first of all, see the lyrics and, secondly, hear the song. We couldn't find anything negative as it relates to the association with Otis Redding.
"My mother has protected that legacy for so many years; therefore she gave them the approval to do it."
Karla added her family are huge fans of Jay-Z and Kanye and are pleased the rap pair will bring Otis' music to a new generation.
She added to MTV: "It really means a lot to me, particularly to a whole new generation of young legends, because that's what Jay-Z and Kanye are.
"I just think it's wonderful to tie an old legendary artist whose music history will never die to something that they have come up with. I just think the collaboration was certainly a tribute to him, and it's really great."
'Sitting on the Dock of the Bay' singer Otis died in a plane crash in 1967 when he was just 26. The Throne's album 'Watch the Throne' is set for release on August 8.
Made in America Festival is an annual music event founded by rapper and businessman Jay-Z...
Somehow the people at Universal Pictures got it into their heads that easy-on-the-eyes, thin-on-talent Jessica...