Outman had a 3.28 ERA in 24 2/3 innings before he was designated for assignment by the Indians. He will be available out of the bullpen beginning Friday against the Blue Jays
Hill appeared in six games for the Yankees as a lefty specialist, allowing just two hits in 2 1/3 scoreless innings.
Herrera was recalled Thursday from Double-A Binghamton, where he was hitting .340/.406/.560 in 61 games. He is expected to help replace Daniel Murphy, who was placed on the DL Thursday.
Holland, who is recovering from knee surgery which has cost him his entire season so far, had his last start scratched due to a back injury. However, he said he did not feel the back was an issue Thursday, and feels ready to pitch in the majors.
"I felt good," Holland said. "I think the big thing was to just test my back and make sure everything was OK with that from there. I felt good and continue to pound the zone and just getting myself ready, that's the main thing. Just to get back to make sure I'm ready to go."
The team currently does not have a plan for getting Holland into the rotation in the majors, but the report indicates it could happen at some time in the next week.
Gallo broke the previous franchise mark set in 1975, and he did it in his 430th at-bat between Class A Myrtle Beach and Double-A Frisco. He ranks fourth in the minors overall in strikeouts, though he has also hit 41 home runs while hitting .274/.395/.619 overall.
Branyan, 38, has not played in the majors since 2011. He was playing professionally in Mexico before signing his minor-league deal.