The late-night host just issued a statement that basically says no to the 12:05 idea. But he isn't saying he's quitting either. From O'Brien's statement (via The Wrap)
Last Thursday, NBC executives told me they intended to move the Tonight Show to 12:05 to accommodate the Jay Leno Show at 11:35. For 60 years the Tonight Show has aired immediately following the late local news. I sincerely believe that delaying the Tonight Show into the next day to accommodate another comedy program will seriously damage what I consider to be the greatest franchise in the history of broadcasting. The Tonight Show at 12:05 simply isn't the Tonight Show. Also, if I accept this move I will be knocking the Late Night show, which I inherited from David Letterman and passed on to Jimmy Fallon, out of its long-held time slot. That would hurt the other NBC franchise that I love, and it would be unfair to Jimmy.So it has come to this: I cannot express in words how much I enjoy hosting this program and what an enormous personal disappointment it is for me to consider losing it. My staff and I have worked unbelievably hard and we are very proud of our contribution to the legacy of The Tonight Show. But I cannot participate in what I honestly believe is its destruction. Some people will make the argument that with DVRs and the Internet a time slot doesn't matter. But with the Tonight Show, I believe nothing could matter more.
O'Brien finished by saying that he has no offer to go anywhere else. "My hope is that NBC and I can resolve this quickly so that my staff, crew, and I can do a show we can be proud of, for a company that values our work.