The Tigers recalled Brieske from Triple-A Toledo on Tuesday.
Abrams (back) is starting at shortstop and batting leadoff Tuesday against Atlanta, Mark Zuckerman of NatsJournal.com reports.
The Tigers activated Greene (hamstring) from the 10-day injured list, and he's starting in left field and batting cleanup Tuesday against the Twins.
The Nationals selected Morales's contract from Triple-A Rochester on Tuesday.
The Nationals transferred Millas (finger) to the 60-day injured list Tuesday.
Lile went 3-for-3 with a pair of two-run home runs and a walk in Monday's 6-3 win over Miami.
Jobe (1-2) took the loss against the Twins on Monday, allowing five runs (four earned) on six hits and two walks in five innings. He struck out four.
Tolman struck out four in two clean innings to earn the save Monday against Miami.
Lee went 2-for-3 with a solo home run in Monday's 11-1 loss to the Twins.
Dion took a no-decision against the Marlins on Monday, allowing no runs on two hits and one walk in three innings. He struck out one.
