ESPN.com reported the deal will also send Roko Ukic to Milwaukee and guard Sonny Weems from the Bucks to the Raptors. The report said the deal will not be finalized before Tuesday as Delfino must fly from Argentina to sign a contract with the Bucks.
Delfino, a four-year veteran, played in all 82 games last season for Toronto and averaged 9.0 points and 4.4 rebounds. Delfino, who spent his first three seasons with Detroit, averaged 5.8 points and 3.0 rebounds in 262 games.
Johnson, whom Milwaukee acquired from Detroit, has played in 135 games in his three-year career, and averaged of 3.7 points and 3.8 rebounds.
Ukic played in 72 games last season with Toronto, his first in the NBA. Weems, who went to Milwaukee from Denver in July, played in 12 games for the Nuggets last season.