Sylvia Fowles added 10 points and 12 rebounds for Minnesota. She has 156 career double-doubles, one shy of the WNBA record set by Lisa Leslie.
Asia Taylor, who signed as a free agent with Minnesota on July 2, scored a career-high 13 points. The Lynx (9-6) have won three in row.
Sims drove, spun into the lane, pump faked to get her defender in the air and hit a jumper that proved to be the winner. Chicago's Allie Quigley missed a deep 3-point shot as time expired.
Chicago's Quigley scored 17 of her 24 points in the second half and tied her career high with six 3-pointers, including two during a 14-0 run that gave the Sky (7-8) a 55-54 lead, their first since midway through the first quarter, with 22 seconds left in the third. There were three ties and nine lead changes from there.