Kate, 27, couldn't concealer feelings as Philip, 29, let her touch up his make-up.
In these scenes, licensing development manager Kate, who models herself on Sex & The City maneater Samantha Jones, giggles as she tells Philip: "Metrosexual means that you're in touch with your feminine side."
And estate agent Philip admits: "I enjoy the odd cosmetic here and there. Chicks dig it. If it's good enough for Beckham, it's good enough for me. From past experiences with former girlfriends I like to think I have a fair grasp of the market."
We can reveal the pair did end up in bed during the show-but waited till the series was over to have sex.
A close friend of Philip's said: "He couldn't resist her, they didn't go all the way while they were in the Apprentice penthouse together, but there was a fumble under the duvet.
He couldn't help it. They are in a serious relationship now." Philip's ex Rachel Pascall added: "They are boyfriend and girlfriend. Philip loves blondes in business suits, and she ticks all his boxes."
A show insider said: "Until now there have been little glimpses into Kate and Phil's blossoming relationship - but this is when things really kick off with some full-on flirting."
The Apprentice is on Wednesday (BBC1, 9pm)
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