Despite being named a Texas League All-Star in 2012 and 2013, he did not receive a call-up and was released by the Athletics organization on April 2, 2015.

On April 14, 2015, Murphy signed a minor league contract with the Toronto Blue Jays organization.

In 42 appearances out of the bullpen for New Hampshire, Smith compiled a 1.50 ERA with 68 strikeouts and 5 saves across 72 innings pitched.

Smith split the 2017 season between New Hampshire and Buffalo, accumulating a 3.68 ERA in 39 combined appearances before electing free agency on November 6.

After pitching for Buffalo in 2018, he was promoted to the major leagues for the first time on August 27,[5] and debuted that day.