'She rolls her eyes but I've told her she will love it.
'I've even shown her a picture of a habit that she can wear but she isn't keen on that.'
Describing himself a strict dad, Pete also revealed he was hoping for Princess, Junior, 11, and his children Amelia, 3, and baby Theo with wife Emily Macdonagh, 27, to all go to university and have successful careers.
The Mysterious Girl star was married to Katie from 2005-2009, and made no secret of his preference for his then-wife to wear more modest attire.
Meanwhile Katie's recent family trip to the Maldives was steeped with controversy.
The 38-year-old glamour model came under fire on Sunday as she shared a family snap alongside her husband Kieran Hayler and children Harvey, 14, Junior, 11, Princess, nine, Jett, three and Bunny, two.
As the happy family posed on a banana boat, fans could not help but point out that her eldest daughter was pulling a near-identical pose to that favoured by her mother - in a move one user deemed 'unnatural for a child of her age'.
In true Katie style, she has been keeping her holiday documented on social media, giving her fans an insight into their luxurious family break on which she was spotted flitting between sharing her own sizzling snaps and sweet family shots.
After sharing snaps of Princess in bikinis and later a kaftan, she has been accused of oversexualising her daughter, with yet more outrage being provoked on Sunday.
In the sweet shot, the entire family sat along a banana boat, with all the members pulling different poses and look to be blissfully enjoying the break.
Princess is seen sandwiched between brothers Jett and Junior as she arched her back and turned her head to the camera while pulling a cheeky pose - which Instagram users claimed was mimicking her mother.
Social media users penned: 'Princess far too posy for her age kind of ruins the lovely picci isn't natural for a child of her age... Princess sure takes after her mother... Princess had definitely been watching you pose... Princess is mini you... Princess is your double... Princess is just like her mum'.
Elsewhere however, fans threw their support behind the star as they hit back at her critics to insist it is the typical behaviour of young girls.
Fans wrote: 'Omg young girls copy off their mam's , big sisters , aunties and celebrities I constantly see my friends children pose and pout for pictures it's what little girls do...
'When all you haters were younger did you not dress up as an older relative because I can say I did I used to walk around with my mam's make up on in her high heels wearing her jewellery...
'The only difference now is social media wasn't around then and not everyone had a camera with them 24/7 like now . Go back and look through your old family photos and I can guarantee you will come across pictures of yourselves posing...
'Keep doing what your doing jealousy is a horrible thing xx... The reason that little girl poses constantly is because her mum does... what else does she know of course she will copy her.