Twins starters have averaged almost 6 IP per start (124.1 over 21 starts), not including Maeda's 16 IP over 4 starts (very Archeresque). 4 stud relievers to cover 3 innings should do it.
Headrick is locked into the long reliever role (for now), and Pagan, Alcala & Moran, while not completely reliable, are serviceable. Not to be trusted in close games, but serviceable. Look at most teams, the BP's pretty much look the same.
They need a 5th starter before they need a middle-reliever, and Ober and Varland are available, amongst other potential options.