I have to disagree with @Richard (!)Valorum's answer.
From the schematics of Intrepid class ships, available e.g. here we get a different picture. Here's a blowup of Deck 1:
The other door in the ready room leads into what looks like a personal head / shower room, which I believe makes more sense than an exit to a hallway. At any rate, there's no access from there to the turbolift, it seems.
You can also have a look at this version of the Intrepid-class schematics for the U.S.S. Odyssey.