Suter's assist gave him 47 points, breaking the franchise single-season record for points a defenseman. It also established a career high for Suter; he had 46 points in 2011-12, his final season with the Predators.
Despite being outshot 19-7 up to that point, Minnesota led 2-0.
"It's tough to score in this League," Kings coach Darryl Sutter said. "When you've got that many shots [against], you've got to make sure you keep the goals-against at one or two and score. That's how you make the playoffs, and that's how you win in the playoffs."
Toffoli made it 2-1 at 11:35, scoring off the rush with a snap shot from the slot that beat Dubnyk to the blocker side for his 27th goal.
"I thought we had some decent looks and Drew in particular had some really good shots, they just didn't go in," Kings forward Anze Kopitar said. "You've got to give [Dubnyk] some credit. Obviously he's been doing that for quite a while now, so it's not a surprise. It's on us. We need to do a better job and make it tougher on him, but credit to him."
The Kings outshot Minnesota 13-6 in the third period, but Toffoli's slashing penalty with 58 seconds remaining dampened the Kings' hopes for a last-minute tying goal.