Yesterday (July 23) marked one year since Winehouse was found dead in her Camden home from alcohol poisoning at the age of 27.
Cole later took to Twitter and sent a message of support to Amy's father Mitch and the rest of her loved ones.
"Dear Mitch," she begun. "Thinking of you and your family today and sending you all lots of love x."
Mitch didn't respond to Cole's tweet directly, but earlier issued a more general post to his followers reading: "Thank you all for your wonderful messages.
"We miss Amy so much but her/our work will continue. Long live Amy."
Amy's goddaughter Dionne Bromfield was also among those paying tribute to the musician, posting an emotional message in which she promised to "never forget" her "best friend".
Photo gallery - Amy Winehouse death: One year on: