Crosby was announced as a finalist for the 2018-19 Hart Memorial Trophy, Elliotte Friedman of Sportsnet reports.
Crosby will not attend the 2019 IIHF World Championship with Canada, instead spending the offseason recovering and preparing for next year, Sam Kasan of Pens Inside Scoop reports.
Crosby had a goal and two assists in Thursday's 4-1 win over the Red Wings.
Crosby picked up an assist in Tuesday's shootout loss to Carolina.
Crosby tallied a pair of power-play assists in a 5-0 win over Buffalo on Thursday.
Crosby scored two goals, one on the power play, in Tuesday's 5-3 win over the Capitals.
Crosby, who had temporarily left Thursday's game after taking a high stick early in the third period, returned to score a goal in a 3-0 win over Columbus.
Crosby lit the lamp and dished out two assists in Tuesday's overtime win versus the Panthers.
Crosby tallied a goal and three assists in a 5-1 victory against the Canadiens on Saturday.
Crosby scored a goal and an assist in Tuesday's 5-2 win over the Blue Jackets.