How soon can a closing be scheduled once approved?

I have had my loan commitment for a couple of months, including an extension that expires later this month. I've just (finally) gotten approval to go ahead with the sale by the city (HDC property) and the underwriter has just about everything, except the title search which wasn't ordered until the approval Friday. I'm trying to get an idea of how long it would take to schedule the closing now. I did try and contact my mortgage processor, who was out yesterday and will probably not get back to me before Monday. But I'm kind of antsy to get some idea right now. Research says closings can happen in as soon as 30 days, but those also consider the entire process, not this end bit. TIA for any info.