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Bickell started the first few games of the playoffs on the first line with Patrick Kane and Jonathan Toews.
The 6-4, 223-pound forward should help fill the void created by the trades of burly wingers Dustin Byfuglien and Ben Eager.
Bickell scored a goal and had four assists in three regular-season games, and he had an assist in four playoff games.
Jesse Rogers covers the Blackhawks for ESPNChicago.com.