The 30-year-old "Smile" hitmaker's four-and-a-half-year marriage to Cooper has been the subject of split rumours for several months and the speculation has now been further fuelled by a phone-in chat she spontaneously took part in on LBC Radio on February 10, reported Female First.
Presenter Shelagh Fogarty was hosting a discussion about teaching in British schools on the London station when she brought up Allen's Twitter spat with Education Minister Nick Gibb over the absence of lessons in "real life skills".
When Shelagh asked what would be the perfect Lily Allen curriculum, she replied, "An introduction to divorce! I don't know... Things that everybody needs to know about!"
Shelagh then asked, "Is there something that you need to tell us Lily?"
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To which the pop star responded: "The dangers of marriage. It's just life skills isn't it?"
Allen and Cooper, who have two daughters, Ethel, four, and three-year-old Marnie, together, have rarely been seen in public together for months and they have both been spotted out and about no wearing their wedding rings.