Stoll will serve the suspension during Game 2 Saturday night in San Jose.
Stoll hit White from behind into the end boards in the second period, knocking the dazed Sharks blueliner out of the game. There was no penalty on the play, but replays showed there likely should have been a boarding call.
"I don't like it," Sharks defenseman Dan Boyle said of the hit after Thursday's Game 1. "I didn't like it the first time around, and I don't like it on the replay. I don't know that Stoll is that kind of a guy but that's exactly what we're talking about and trying to eliminate [from the game].
"The guy's head is this far from the boards, and you drive your forearm and elbow in there? That's what they're trying to get rid of. I didn't like it."
Stoll had said he didn't expect a suspension since there wasn't a penalty on the play.
"He was a little low there," Stoll said of White. "I don't know what he was doing, if he was reaching for a puck or what. He was right against the boards, too, and he was a little low. I just finished my check on him, and it ended up pretty bad for him. I hope he's all right. You hate to see a guy get hurt, regular season or playoffs. I definitely wasn't trying to hurt him."
The Kings rallied to force overtime in Game 1, but Joe Pavelski scored 14:44 into the extra session to give the Sharks a 3-2 win.
White wasn't officially ruled out for Game 2 on Saturday, but Sharks coach Todd McLellan all but did just that.
"At this present time I'd say no. He didn't practice today," McLellan said after Friday's practice. "He'll come to the rink tomorrow and we'll evaluate him. We'll put his well-being and health ahead of playing."
"I don't know that we're completely sure on that yet, we'll make that decision [Saturday]," said McLellan.
Pierre LeBrun covers the NHL for ESPN.com.