Josi made it 2-0 with seven seconds remaining in the first with a one-timer from below the right face-off circle off a pass from Johansen.
"I just kind of saw him going to the net and just hoping he was going to be there," Johansen said. "It worked out nicely, I guess."
Koekkoek made it 2-1 with his first goal of the season at 14:21 of the second period. After the Lightning won a puck battle along the wall, Alex Killorn backhanded it across the slot from the right face-off circle to Koekkoek, who scored with a wrist shot inside the far post from the left dot.
"Honestly, I thought it was a good hockey game," Tampa Bay defenseman Anton Stralman said. "I thought both teams played pretty well. Unfortunately, they came into the first intermission with a 2-0 lead, and that's tough to come back from. Especially against a really good team."