It was Bishop who gave Killorn the chance to play hero. The Red Wings controlled play most of the night, particularly in the second period, when they outshot the Lightning 14-6 and generated their best scoring chances. Bishop made saves on breakaways by Riley Sheahan, Dylan Larkin and Darren Helm in the period, and faced numerous odd-man rushes.
"I just wanted to find a way to win," Bishop said. "The guys have done a good job scoring goals all series for me, scoring three goals every game we won. It was my turn tonight. I was very relieved to see that goal go in. It was kind of a fluky play there, but we'll take it."
The game tightened up in the third period, when Detroit outshot Tampa Bay 11-10.
"Seeing their goal there at the end, that was rough," Zetterberg said. "I thought we deserved better. That could have been, after Game 3 (a 2-0 Detroit win), our best game so far. I thought we did a lot of good things, except get the puck behind Bishop."
It's the second straight year Bishop has eliminated the Red Wings with a shutout. Last year, Tampa Bay defeated Detroit 2-0 in Game 7 of their first-round series.
"Extremely frustrating, I thought our guys played really well and couldn't find a way to get the puck in the back of the net," Red Wings coach Jeff Blashill said. "I thought we kept coming and coming, and it speaks of the character and leadership of the whole room. I thought we played well enough to win, but obviously we didn't."
The Lightning penalty kill was 4-for-4 on Thursday and 24-for-25 in the series. In addition to the 6-on-4 at the end of the game, the Red Wings had a 5-on-3 for 1:14 in the first period.
"Their best players outplayed our best players," Zetterberg said. "We've got to produce more, including me."
Datsyuk, 37, who may not return to the NHL next season, was held without a point in the series.
"I need a little bit to cool down and for the emotion to go out, and then start thinking about more," said Datsyuk, who told the Detroit Free Press before the playoffs that he was going to return to Russia and play in the Kontinental Hockey League next season.