The singer performed a re-worked rendition of 'Turn Around', which the British popstar originally recorded with Ne-Yo.
Ware explained that she decided to cover the track after branding it a "really interesting song" that "caught her ears" on the radio.
The Devotion star also revealed that she is a fan of both Maynard and Ne-Yo.
Ware performed the track in Radio 1's Live Lounge in support of her own single 'Night Light', which was officially released earlier this week (October 21).
The performer will embark on a seven-date headline tour of the UK in 2013, starting at Cambridge Junction on March 6.
Listen to Jessie Ware's performance of 'Night Light' below: