But it may still cause significant damage through flooding and winds when it passes Shanghai later in the day.
One man was reported to have been electrocuted when he stepped in a puddle electrified by a light box in the northern part of the city.
There were few other reports of damage or injuries.
Shanghai, China's financial hub and biggest city, closed schools, ferries and other transport links amid warnings of torrential rains and strong winds. It had also considered closing the stock exchange.
Matches for the women's World Cup in Shanghai were rescheduled and moved and many flights out of Shanghai and other regional airports were cancelled.
Meteorological officials had earlier warned that said Wipha - which had been packing wind gusts of up to 260kph - could be the most destructive storm to hit the Shanghai area in years if it followed a course northward that would take it just west of the city.
The deadliest storm to hit the China coast in recent years was Typhoon Winnie in 1997, which killed 236 people.
On Tuesday, one worker was reported killed and another seriously injured as the fringe of Wipha lashed Taiwan, knocking down scaffolding at a highway construction site in Taipei.