Deposit is irrelevant, they can send you a notice at any time before the suspensive conditions are fulfilled. That can be bond approval or the sale of your house.From my vague knowledge of things, they can only accept a second offer if you haven't paid a deposit. At least that's what our estate agent said. So perhaps if you're very keen on the house you could put down a 5% deposit or something?
It is quite common in OTPs.
