Dmitry Kulikov found the net with 1.3 seconds remaining in the extra session, and Joel Eriksson Ek's assist on the goal was his third point of the game.
Kirill Kaprizov and Kevin Fiala are first and second in team scoring and have set franchise records before the end of the regular season.
Grizzlies All-Star Ja Morant shot 4-for-13 on Saturday night, struggling against the Timberwolves' "high wall" defensive strategy.
Byron Buxton homered in the seventh inning to tie the score 3-3 before belting a three-run shot in the bottom of the 10th to bring the Twins from behind again and allow them to sweep Chicago at Target Field.
Climate change may raise cases of a dangerous mosquito-borne virus.