Lennox believes that the 'We Found Love' pop superstar, who was assaulted by her then-boyfriend Chris Brown in 2009, would be "so f**king powerful" if she spoke out.
The 'Walking on Broken Glass' singer-songwriter, formerly of Eurythmics, told The Daily Telegraph: "Here is a young woman who has been through domestic violence.
"She could become a tremendous spokesperson for that issue but the choice is hers. It's not up to anybody else to do that."
The 57-year-old added: "Of course if she did choose to do that it would be so f**king powerful but it's her personal right to choose it or not.
"We all have our own issues and we have to deal with them in our own way."
Watch Annie Lennox perform 'Wonderful' live below: