Princess, eight, broke her forearm earlier this month when she fell off the pony her mother Katie Price had bought her for her birthday and had to undergo an emergency operation to re-set the limb.
The 'Mysterious Girl' hitmaker has revealed she's asked him to get the 'Get Weird' girl band - comprised of Perrie Edwards, Jade Thirlwall, Jesy Nelson and Leigh-Anne Pinnock - to put their autographs on it.
Speaking exclusively to BANG Showbiz at the Nordoff Robbins O2 Silver Clef Awards at London's Grosvenor House Hotel on Friday (01.07.16), he said: ''She has got a signature from me but what I didn't anticipate was when she broke her arm and had it put in the cast was that she would smack me over the head whenever I annoyed her! So I'm not quite sure whether I'm happy about this.''
Sharing what stars she wants her famous father to get to sign her cast, he added: ''It's all about Little Mix, she's asking me about Little Mix so I don't know, does anybody know them? I'll get them to say hello to her.
''It is weird as a parent when you hear your kids talk about other people that are in the music industry - Princess is constantly going on about Little Mix.''
The 43-year-old star - who also has 11-year-old son Junior with his ex-wife Katie - is an ambassador for the Nordoff Robbins charity, which provides music therapy for adults and children with special needs, and he is extremely ''proud'' of the work they charity has done to help those in need.
Peter - who is married to Emily MacDonagh with whom he has two-year-old daughter Amelia and another baby on the way - said: ''I'm proud to say I'm an ambassador I've visited some of the workshops so I've gone and seen some of the therapy that's been done some of the kids had a learning music therapy which is incredible. Music is a world within itself with a language we all understand.''
Peter was joined on the special blue carpet at the ceremony by Lionel Richie, Jeff Lynne, Olly Murs, Jess Glynne, Barry Gibb, Ricky Wilson and more.
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