He really is enjoying keeping us all hanging isn't he?!
However, it's not her ACTUAL name - it seems they're still deciding on that.
Peter, 40, has revealed that they've in fact just chosen a nickname for the new arrival: "Bista's Sister".
'Bista' is his daughter Princess' nickname, from the days when she was first born and her brother Junior, eight, couldn't say 'Sister' properly.
Peter explained to new!: "Last week I revealed one of my resolutions was to find a nickname for our baby girl. We're getting there but for now, it'll stay 'Bista's Sister'.
Just last week it was suggested that Peter and Emily, 24, had decided on the name 'Rebecca,' due to its religious connotations.
But it seems that perhaps they haven't settled on a name after all.
The singer and TV presenter went on to reveal that he and Emily, 24, aren't getting much sleep due to the excitement of becoming new parents.
He said: "You may have seen some pap shots of me last week looking really rough in my tracksuit. As you might expect, I'm not getting much sleep at the moment, but oddly I'm not knackered. I'm just so excited. At the moment I'm averaging six hours of broken sleep a night. And for me, that's not a lot."
Well, we're not surprised he's slightly sleep deprived.
By all accounts, baby Andre is seriously cute - and we'd imagine that in itself is a bit distracting.
Shortly after her birth, Peter said: "Our baby girl is absolutely gorgeous. We're so happy. It's a bit early to say who she looks like yet, but I'm sure it'll be apparent soon. Emily and baby are doing well. We have the next couple of weeks to think of a name."