Vesey scored a goal and assisted on another during Sunday's 4-1 win over the Capitals in Game 1.
Vesey scored a goal on his only shot in Saturday's 4-0 victory over the Blues.
Vesey (lower body) is good to play Thursday against New Jersey, according to Vince Z. Mercogliano of USA Today.
Vesey missed Wednesday's practice due to a lower-body injury.
Vesey scored two goals on two shots with a plus-2 rating in Wednesday's 3-1 win over the Lightning.
Vesey had one blocked shot and a minus-1 rating in Monday's 2-1 overtime win over the Avalanche.
Vesey scored a goal on his only shot while adding a blocked shot, a hit and a plus-1 rating in Thursday's 4-1 win over the Blackhawks.
Vesey scored a goal on his lone shot in Sunday's 4-1 win over the Kings.
Vesey was a healthy scratch for Thursday's 5-1 win over Buffalo.
Vesey potted a goal in Saturday's 4-0 win over the Blue Jackets.