In 1951 Bob was acquired by the Brooklyn Dodgers and pitched for the Montreal Royals in the International League, where Bob compiled a 15–9 record with a 3.58 ERA. Bob performed well enough to earn a spot on the spring training roster with the Dodgers in 1952. Bob didn't make the club in '52, instead he was back with Montreal for the regular season and was 8–7 with a 4.34 ERA.
Robert Alexander remained with Montreal in 1953 and after the season, Bob underwent surgery to remove bone chips from his elbow.
Portland Beavers
In 1954 Bob was acquired by the Portland Beavers of the Pacific Coast League where Bob finished with a 10–12 record and 3.22 ERA. At the end of the season, Robert Alexander, who was 32 years old at the time, was purchased by the Baltimore Orioles.
Baltimore Orioles
Robert Alexander made his Major League debut in a relief appearance for the Orioles on April 11, 1955 against the Washington Senators.[4] Bob would make a further three relief outings before returning to Portland in July to record a 10–10 record and excellent 2.66 ERA.
Cleveland Indians
Robert Alexander continued to be a stellar pitcher in the Pacific Coast League and got his final shot at the Major Leagues in 1957, when the 35-year-old right-hander joined the Cleveland Indians pitching staff. Robert Alexander made five relief appearances for the Indians to end his Major League career.