Bobby McMann scored twice and Anthony Stolarz made 27 saves for the Maple Leafs (11-6-2), who have won two in a row and five of their past six.
Connor McDavid and Leon Draisaitl each had a goal and an assist and Skinner made 18 saves for the Oilers (9-7-2), who had won three in a row.
“You want to see it locked down there at the end,” Oilers forward Adam Henrique said. “Late in the game, giving up the tie and go-ahead, I thought our guys did a great job going right back out getting pressure and find a way to tie it. We ended up getting a point there but you want two and you want two in regulation if you can.”
Matthew Knies tied it 2-2 at 13:08 of the third period when he shot blocker side after Evan Bouchard turned the puck over deep in the defensive zone when he hit McDavid in the back with an attempted lead pass.
“I didn’t really expect that play to happen but I was pretty fortunate to get that space,” Knies said. “I kind of used their defenseman as a screen. Luckily it went in.”
McMann put the Maple Leafs up 3-2 just 59 seconds later when he outraced Bouchard and Mattias Ekholm to a loose puck in the neutral zone and deked to Skinner’s blocker side while in alone.
“I thought maybe I could race for it, maybe get a chance on a breakaway and I saw their goalie come out a little bit and he was a little bit in between so I just made one move and was able to put it in,” McMann said.
Draisaitl tied it at 18:31 when he put in a loose puck to the right of the goal crease past a sprawling Stolarz during a scramble with Skinner pulled for a 6-on-5 advantage.