As part of the deal Sunday, the Orioles received infielders Tyler Nevin and Terrin Vavra, along with a player to be named later and cash considerations.
The 30-year-old Givens has allowed two runs over 13 innings this season for the Orioles. He has 19 strikeouts and two walks.
Givens was a second-round pick by Baltimore in 2009. Over his career, he has a 20-17 mark with a 3.32 ERA.
Nevin, 23, has hit .286 with 36 homers and 193 RBIs in parts of five minor league seasons. He hit .251 for the Double-A Hartford last season. He’s the son of Phil Nevin, who spent a dozen seasons in the big leagues.
The 23-year-old Vavra was a third-round pick by Colorado in 2018. He was the South Atlantic League MVP with Class A Asheville last season after hitting .318 with 10 homers and 52 RBIs.