Connolly lit the lamp for the defending champs in Sunday's 2-1 preseason loss to Boston.
Connolly netted the game-winning goal and two shots during Thursday's 1-0 win over the Red Wings.
Connolly notched an assist and a shot during Thursday's 5-2 win over the Wild.
Connolly tallied an assist and one shot during Tuesday's 4-3 overtime loss to the Jets.
Connolly scored two goals and recorded four shots through 16:05 of ice time (4:17 with the man advantage) during Thursday's 4-3 overtime loss to New Jersey.
Connolly was added late to Thursday's lineup against the Hurricanes, Brian McNally of NHL.com reports.
Connolly will be a healthy scratch Thursday against the Hurricanes, Tarik El-Bashir of NBC Sports Washington reports.
Connolly scored his seventh goal of the season and added a helper in Tuesday's win over the Stars.
Connolly blocked one shot in Saturday's 3-2 overtime defeat to Washington.
Connolly will return to action Sunday against the Oilers, Isabelle Isabelle Khurshudyan of The Washington Post reports.