I don't know if it's supported or not, but since Steam stores the saved games in the cloud I thought I'd try starting a game on one machine and continuing it on another. Both machines had .75 installed. The game was started on a Vista 32 bit system and then saved after a few turns. Shutdown the machine, booted my other one (my main gaming machine), a Win7 64 bit system. Loaded the saved game, it appeared to load ok.
When I hit the turn button the game crashed (the usual Windows LegendaryHeroes has stopped working message).
The debug.err from the crash is here.
The mdmp file is here.