Nicknamed the "Hamburglar", he rose to fame in 2014–15 when he was called up from the minors and led the Senators to a 20–1–2 record to clinch a previously unthinkable Stanley Cup playoff berth.

[7] It was at Bowling Green that Hammond's ability to "steal" wins for the Falcons prompted teammate Wade Finegan to start calling the goaltender "Robber," then "Burglar," then simply "Burgs."

"[8][9][10] A play on his name, the nickname refers to the McDonald's restaurants' mascot character whose likeness, in the guise of MAD magazines' Alfred E. Neuman, Hammond had painted onto his goalie mask.

[17][18] He made his first career NHL start against the Montreal Canadiens at the Canadian Tire Centre on February 18, 2015, after goaltender Robin Lehner was injured in Ottawa's previous game.

[22] After winning a game against the Carolina Hurricanes in overtime on March 17, Hammond became just the second goaltender in NHL history to allow two goals or fewer in their first 12 starts, a feat matching Hockey Hall of Famer Frank Brimsek's record set during the 1938–39 season with the Boston Bruins.

[23] On April 1, 2015, Hammond was named the NHL's First Star for the Month of March after compiling a 10–1–1 record with a 2.09 goals against average (GAA) and a .930 save percentage, helping the Senators climb to within three points of the final Wild Card spot in the Eastern Conference.

[1] Hammond finished the 2014–15 regular season with a record of 20–1–2, helping the Senators clinch a Stanley Cup playoff berth, where they were eventually ousted by the Montreal Canadiens in the Eastern Conference Quarterfinals.

[31] Before making an appearance with the Avalanche, Hammond was placed on the injured reserve after receiving an errant stick on the bench resulting in a concussion in a game against the Vancouver Canucks.

As a free agent from the Avalanche, Hammond opted to continue his career in the Central Division, agreeing to a one-year, two-way contract to compete for the backup role with the Minnesota Wild on July 1, 2018.

[42] Collecting three wins in four appearances (one of those in relief), Hammond's tenure with the Canadiens ended while in recovery from his injury, after he was dealt at the NHL trade deadline to the New Jersey Devils in exchange for Nate Schnarr on March 21, 2022.

[43] Canadiens general manager Kent Hughes said that with the return of Jake Allen from injury, he felt that the trade would give Hammond more opportunity to continue in the NHL.

[46] Hammond's tenure in the KHL was brief, appearing in two games with Traktor in the 2022–23 season before opting to terminate his contract in order to return to North America on October 20, 2022.

[48] Hammond has said that he almost quit hockey on two separate occasions, the first when he was cut after a junior A game in the 2006–07 season, and the second when he was traded from the BCHL's Surrey Eagles mid-season in 2007–08.