Got on offer on the house

We got an offer on the house yesterday. We've got to counter and stuff, but even if this deal doesn't work it's nice to know that it only took a little over a week to get an offer. Makes me feel good about all the work I did getting the house ready to sell. The people making this offer want to close July 3, which is so fast, so I'm guessing they really want it. There's no huge rush on our part, so if they don't offer what we want then we won't sell to them. It would be great to get it over and done with though.