Hilary Duff worries her husband will leave her for a "coolio indie songwriter"

Hilary - who also has 13-year-old Luca with first husband Mike Comrie - told Rolling Stone magazine: "I always think Matt's going to leave me for some coolio indie songwriter that he works with."

Matthew replied: "Which is so insane. But also very real. Those are real things to get hung up on emotionally."

Hilary's highly-anticipated new album, Luck... or Something, features deeply personal songs, including The Optimist, in which she reflects on her complicated relationship with her father.

She said: "There's times where I talk to my dad and times where I don't talk to my dad.

"I do have a pretty sunny disposition, but a lot of s*** has gone down, and that's life."

We Don't Talk also looks at another strained family relationship, which fans have speculated to be about Hilary's sister Haylie, from whom she is rumoured to be estranged.

And while the Lizzie McGuire actress didn't confirm the speculation directly, she admitted fans "know what [she] is talking about".

She said: "I feel almost like when I got divorced [in 2015], where I dealt with it privately, and then the news comes out and you're like, 'OK, great. I'm going to deal with this all over again.'

"I was prepared, a little bit. I made a choice to put that song on my record. That's definitely the most lonely part of my life, and I struggled with, 'Am I going to share this?'

"People have known my life since I was a child, and so they know all the characters in it and they know what I'm talking about. For me, it was important to be open about that theme. It genuinely came from the heart."

However, Hilary dismissed speculation that the mustard sofa she performed We Don't Talk on during her recent London concert was a hidden message because it supposedly resembles a piece of furniture featured in a previous video.

She said: "I was not, however, prepared for people to be like, 'The couch is the colour of the couch...' That is absolute bulls***, and totally not true and crazy. And I don't have the time to make threads for people to catch on to about that.

" I have a full life and a busy family, and this was literally just a song about my truth, and that was it."

For her first album in 11 years, Hilary felt it "really important" not to just sing about her daily life as a mom.

She said: "It was really important to me to not make a record that was like, 'I'm a mom and I pick up my kids at school and pack lunches every day and it's so hard.'

"It was not at all what I was interested in talking about. What I was interested in talking about is the shift in how it makes me feel, as a person."