The 28-year-old Sheary is fourth on the Capitals with 11 goals this season, including 10 in five-on-five play.
He also has eight assists in 40 games this season.
Sheary scored one goal and added two assists Tuesday night in the East Division-leading Capitals' 6-1 victory over the Philadelphia Flyers. Washington has won three games in a row.
In the game before that, Sheary netted a pair of goals as Washington beat the Boston Bruins 8-1 on Sunday.
He has career totals of 83 goals and 86 assists in 365 regular-season NHL games with the Capitals, Pittsburgh Penguins and Buffalo Sabres. He was a part of two Stanley Cup winning teams in Pittsburgh.
Sheary signed with the Penguins in 2015 as an undrafted free agent after playing college hockey at UMass.