You'll be fine! Usually once you have put an offer in you have 2 weeks to sort out a survey etc. Some estate agents will ask for the solicitors details on offer, but thats about it. I managed to get a mortgage in principle and the survey done within the space of 4-5 days so you have time on your side.

I hope you manage to get everything sorted out - I know its very stressful and becomes almost an obsession! - you have all of next week to sort the mortgage out, as long as the estate agent knows your serious you'll be OK.

Good luck! :)