The late singer's father Mitch told 6 Music that his daughter recorded a number of cover versions before her death last year.
"I'm not sure that there is much more but I'm sure that we will get at least one other album out, if not two," he said.
"There is (sic) loads of covers, loads of them, but the problem is we don't wanna rip anybody off. When her fans are so precious to us we don't want to put out dross."
Lioness: Hidden Treasures, a collection of previously unheard tracks, was released in December, reaching number one on the UK album chart.
Mitch releases new book Amy, My Daughter today (Thursday, July 5) in the UK.
Watch Amy Winehouse's video for 'Our Day Will Come' below: