The reality TV star posted a picture of Pearl, now two months old, at his computer.
Dressed in a babygro and pale blue headband, she looked like the cutest office worker ever.
Jack, 26, also retweeted another shot posted by his fiancée Lisa Stelly.
In it their little smasher is pictured crying next to a video console. The caption reads: 'Aaagh, I didn't make it to the checkpoint' – a joke reference to her losing the game.
In keeping with the patriotic mood of the nation amid the Jubilee celebrations and London 2012, the youngster also wears an outfit emblazoned with a Union Jack.
Introducing Pearl at birth, Jack told HELLO! magazine about the instant love he felt for her. "People say when you have a kid it's like instant love, but unless you've experienced it, it's impossible to comprehend.
"The moment I saw her I felt more love than I'd ever."
He also talked about the shock of the pregnancy given that he and Lisa had only been together three months.
"I think I responded with "that's interesting".
"What do you say? If we'd been trying for two years, of course you'd be like "awesome". But we met in May and found out in August.
"I told Lisa: 'You need to give me a week to really take this in.' I had that time to get my head around the whole situation."
Of course, nearly a year on, the new family man couldn't be more delighted.