Really? We know the A-list mum of Apple, 10, and Moses, eight, is fastidious about pretty much everything else in her life (her quirky diet regimes, for example), but she can't be this controlling, surely?
But 'tis the case, according to Grazia magazine.
It says the Hollywood actress is 'uncompromising with the amount of time she expects (Chris) to spend with their family'.
A source said: "She's drawn up a rota to balance his time living life as a bachelor and seeing Jennifer with honouring their many family commitments.
"Gwyneth still has a lot of control over him, which isn't exactly desirable to prospective girlfriends.
"The way things are are the moment, no sane person would want to be an accessory to their conscious uncoupling."
Chris, 37, is apparently 'torn' that 41-year-old Gwyneth has so much power over him, even though she was the one who decided to end their 10-year marriage.
Chris and Oscar winner Jennifer, 24, haven't confirmed they're an item, but she did travel to Las Vegas to watch Chris and his band perform at the iHeart Festival last weekend and the couple were pictured boarding a private jet back to Los Angeles together.
According to US Weekly, a source said: "He's fallen in love. It's the real deal."
Insiders also claim that the relationship is a 'fantasy come true' for Jennifer - who has had a crush on the singer since she was a teenager and is a fan of his band.
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