References before job offer?

[irie]

I've had 2 interviews for a new company in a part time role that I really want, today they asked me for 3 references, but I can't get my current employer to give a reference as I don't want to hand in my notice before having a firm job offer! Isn't this unusual!? And do you think it means I'm very likely to get the job? I really just want to know now, they want someone to start ASAP but they're taking ages!

It's the norm in teaching

You don't have to hand your notice in to get a reference, but it does show your intention to resign.

When DH had this (for 2 references, three sounds excessive to me, typical obviously varies by area!), He requested that he provided his previous employer, and a personal reference, and provided his current employers reference after formal offer. This was accepted. Might a request to delay current employers reference be accepted?