Actually if it's for purposes of driving as a tourist you don't need a DL, most of the DMV accept "out of country" DL and you can drive from 3 to 6 months with it as far is an unexpired DL from your country and as long you stay legal in your tourist status (unexpired I-94).
Now, if you anyway want a DL, most of the DMV will actually ask if you have a SSN and something that can give you a legal immigration status. You can go to a SSA and ask for a "denial letter of a SSN" which some DMV ask if you don't have authorization to work for example. At the SSA you must show your unexpired passport and I-94. You go back to the DMV with the letter, your passport and I-94. Some of them will make a you DL until the expiration of your I-94 or just for a month. Others DMV won't accept anything.
Check out your DMV rules for specific information.
