The former K-1 champion applied for the license today, seeing as he's scheduled to fight Antonio "Bigfoot" Silva at UFC 156 in Las Vegas a month from now.
However, according to NSAC Director Keith Kizer, there's still some red tape to cut through (via the MMA Junkie report):
[Overeem] will be required per his previous denial to appear before the full commission at the next scheduled meeting, which is Jan. 8. It will be his burden to prove to the commissioners that he should be granted a license to compete in Nevada. After hearing all relevant evidence, the commission will have the option to deny the license, grant the license unconditionally or grant the license with conditions.
It's this last option—a conditional license—that caused Overeem trouble in after his fight with Brock Lesnar at UFC 141.
Overeem's conditional license for that match specified that he was to undergo four drug tests. When he was tested about a month before his UFC 146 title shot, he failed; Overeem had elevated testosterone levels.
Allegations of steroids from fans and fighters alike are now commonplace.
Perhaps if the NSAC orders more tests and Overeem pasts them, the talk of Overeem being a chemically enhanced cheat will finally be put to rest.
Either way, we'll know more on Jan. 8.