How fast must you have cash available for purchase houses?

[Bryan Tasumi]

I have all of my money tied up online savings accounts and no-penalty CDs. If I were to pay in cash, will I have to have the money available immediately or can I make an offer with my money still sitting in my savings accounts and no-penalty CDs? The bank said it would take at least 3 days to transfer the money out of the no-penalty CD's into an outside checking account. 

I'm asking this because I don't want to miss a deal. I have the cash but am not sure how immediate it needs to be. Can I have it ready within 3 days of closing? 1 week?