The Kasabian frontman, who arranged for a floral tribute to be laid down amongst the messages outside Winehouse's home shortly after her death, described the late singer as "beautiful".
"Amy was beautiful, I met her numerous times and she was lovely, she was a sweetheart," he told the Daily Record.
"It was an absolute shock that someone that young and that gifted could go like that and it frightens me that something could happen like that. Bless her, she is at peace now. But nobody should go that young, not at 27."
Meighan added that he struggled to avoid wild parties when he came home after Kasabian's latest tour.
"I'm probably safer on tour than I am at home. I'm just like everyone else - I like to have a good time and I need to learn to cut it off. It's easy to get home and go out and carry on for two days without a break."
Kasabian are on course to top the UK album chart with their fifth studio album Velociraptor!.
Watch Kasabian's Serge Pizzorno discuss Velociraptor! with Digital Spy below: