I'd be more interested in a change of scenery trade with the Yank-me's, sending either Fulmer or Chafin and Derek Hill for Florial and Andujar. Either pitcher upgrades the Yank's pen, and Hill could either be OF insurance, or a more useful Terence Gore-type in September and potentially during the postseason.
Given the challenges every team will encounter with their 40-man roster management (compounded by no Rule 5 this past offseason), teams might be willing to move more players they know they'll won't be able to protect, which could provide some opportunities for sellers, like the Tigers, to audition players (i.e, Florial/Andujar) for the remainder of the season before having to make 40-man decisions, pre-Rule 5.