Problems with my new wireless router and laptops. Please help! ?

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Ok here is the deal, I have just setup a trendnet wireless n home router to our motorola modem. We are using two laptops, the one that I setup the router with wired.. and the one that i have been testing the network out with in the other room.
Here is my question, when I disconnect the wired laptop from the router, can i then connect that pc to the wifi? without the router or modem being connected to a pc at all?
because the wired pc sees the wifi, but it just waits and wait when i double click on it. but when i plug it back into the router it connects within seconds.
You need to set up a wireless connection after you disconnect the cable. Run the wireless setup wizard. The computer can’t connect wired and wireless from the same connection. It’s waiting because it can’t find the ethernet connection.