After going 3–0 with a 0.72 ERA for the High A West Palm Beach Expos to start the 1970 season, Moore made the jump all the way to the Triple A Buffalo Bisons.

After a year in the army, Moore went 5–3 with a 0.63 ERA for the Double A Quebec Carnavals in 1972 to earn a second promotion to Montreal.

He turned his season around on July 14 with a complete game 9–1 victory over the Los Angeles Dodgers.

[2] From there, Moore went 9–6 with a 2.94 ERA, including a 25 inning scoreless-inning streak broken on September 16 by Philadelphia Phillies rookie Mike Schmidt's first major league home run.

[5] He went 0–3 with a 10.20 ERA in six rehab appearances with the Triple A Memphis Blues before undergoing major elbow surgery during that off-season.