Well, it appears likely... in spring training. According to the tribune, Pima County has accepted the White Sox offer of $5M to break their spring training lease. The Sox will move from Tucson Electric Park and share a facility in Glendale with the Dodgers
The Sox will now be in a facility that is about 40 minutes from HoHoKam whereas they used to be about 2 hours away. Along with the Dodgers move to AZ the Indians will move to a new facility in Goodyear, AZ, also about 40 minutes away from HoHoKam.
This move makes spring training in Tucson, AZ more difficult. In years past quite a few of the Diamondbacks games were against the Sox and Rockies, the other Tucson area team. The Rockies are rumored to want out of their facility, which is not nearly as nice as Electric Park and other newer AZ facilities. The two new teams means more teams from the valley to travel to Tucson, but this will mean much more traveling for the Dbacks and Rockies. Unless MLB does something to get a team down to Tucson then spring baseball in Tucson is on the endangered list.