Hadley is reporting (thanks to KTRS) he is on his way to Florida to take a physical.
EDIT: Matt Leach's blog gives an update: Lohse will in fact be down here for a physical, likely tomorrow. A deal, I was told, is NOT done at this point, which is odd, but that's the info I got. Also not sure whether he'll throw for them too, or if it's just a physical.
The Post-Dispatch announces a contract being signed. Link