The singer performed a version of Winehouse's Ivor Novello-winning track 'Love is a Losing Game' on stage at the State Opera House in Prague earlier this week.
Michael introduced the cover by saying: "This next song, I'm very sad to sing, but... I don't know how to put this. In 30 years of making music, I was never actually in awe of anybody new that came along on the British scene until this lady arrived.
"The thought that we won't be hearing any more music from her is just too sad for words."
Michael also discussed the end of his relationship with long-term boyfriend Kenny Goss during the opening night of his 'Symphonica' tour.
He has described Winehouse's second album Back to Black as "the best album I have heard since the '70s" and said that he thinks that the late musician was "one of the greatest singer-songwriters of all time".
Toxicology test results released earlier this week have confirmed that there was no evidence of illegal drugs in Winehouse's system when she died, although alcohol was present.
The inquest into her death has been adjourned until October 26.