The Lightning have beaten the defending Stanley Cup champion Blackhawks twice this season. Tampa Bay rallied from a 2-0, third-period deficit for a 3-2 shootout win in Chicago on Oct. 5.
“You look at the game that we stole in Chicago ... I don’t think we stole tonight’s,” Cooper said.
Chicago (6-1-3) also got goals from Bryan Bickell, Marian Hossa, Patrick Kane and Andrew Shaw. Kane assisted on Shaw’s goal, giving him five goals and 15 points in eight games against Tampa Bay.
Chicago took a 4-3 lead 93 seconds into the third on Shaw’s in-close power-play goal. It was the first time the Blackhawks have scored during the third period since opening night.
Hedman’s first goal in 41 games tied it at 4 at 11:03 of the third.