Eddy was a member of Chicago's Opening Day roster in 1971. After seeing him pitch in spring training, Chuck Tanner, the team's manager, said "Eddy can be our most dependable pitcher in short relief". He got his first MLB decision on April 16, when he gave up a 10th-inning home run to Reggie Jackson that was the difference-maker in a 5–4 loss to Oakland. On April 25, he suffered another loss in an eighth-inning appearance against the Boston Red Sox. After retiring the first two hitters he faced, he allowed a walk and two singles to load the bases, then walked Carl Yastrzemski to force in the deciding run in a 5–4 defeat. During the season, Eddy kept a list of the White Sox left-handed pitchers on his locker door, crossing names off each time he thought he thought he had passed one on the depth chart. "It was a big joke in the clubhouse," recalled fellow left-hander Tommy John, who eventually saw his name crossed off the list. Eventually, Eddy found himself optioned to Tucson on June 18. Though he had posted what McAuley called a "respectable" 3.12 ERA in 19 games for Chicago, the White Sox wanted to call up Stan Perzanowski, who had a 9–0 record with Tucson. In 24 games (four starts) for Tucson, Eddy had a 3–2 record, one save, a 6.85 ERA, 41 strikeouts, 34 walks, and 57 hits allowed in 46 innings. Recalled by Chicago in September, he appeared in three more games for the MLB team. The last of these came on September 30, when Eddy pitched two innings and had his only MLB plate appearance. He hit a double off of Bill Parsons of the Milwaukee Brewers, giving himself a perfect 1.000 batting average. In 22 games, he had an 0–2 record, a 2.38 ERA, 14 strikeouts, 19 walks, and 19 hits allowed in innings. Minor leagues (1972–1973) Eddy was one of the last players cut from White Sox spring training in 1972, as he was reassigned to minor league camp on March 31. After starting the season at Tucson, he was sent to the San Diego Padres on July 16 as the player to be named later in an earlier trade for Ed Spiezio. In San Diego's organization, he pitched for the PCL's Hawaii Islanders. Baseball-Reference does not have complete statistics on his season. In 1973, Eddy made 36 appearances