[1] His next major-league audition came during the 1964 campaign, when he worked in 19 games pitched, all of them in relief, and compiled a 1–2 won–lost record, with one save and an earned run average of 3.93.

The Pirates then packaged Priddy in a February 1965 trade, sending him and first baseman Bob Burda to the San Francisco Giants for veteran catcher Del Crandall.

The Giants loaned Priddy to the Pirates' Columbus Jets Triple-A affiliate for the bulk of the 1965 season, but were able to use him in eight games out of the bullpen.

The White Sox acquired Priddy in February 1968, and he worked in 114 innings pitched for them, a career high, with 18 starts that season.

But he posted a 3–11 won–lost mark, and soon was on the move again, traded to the California Angels on May 14, 1969 in a deal that netted Chicago second baseman Bobby Knoop.