This comes on the heels of a trade the Blue Jays made with the San Diego Padres that saw Toronto acquire outfielder Socrates Brito in exchange for outfielder Rodrigo Orozco.
Brito will be added to the major-league roster, the Blue Jays say.
Pompey first suffered a head injury during spring training and has a previous history of concussions.
The move comes hours after the Blue Jays traded outfielder Kevin Pillar to the San Francisco Giants for infielder Alen Hanson and right-handed pitchers Juan De Paula and Derek Law. The team will recall outfielder Anthony Alford from triple-A Buffalo to take Pillar’s place on the roster.
Brito, 26, was designated for assignment by the Padres on Sunday. He came up through the Arizona Diamondbacks system and appeared in 82 games for Arizona from 2015-2018.
In 175 major league plate appearances, he has hit .202/.229/.351 with five home runs and 16 RBIs.