Drivers of high-sided vehicles and motorcyclists are urged to instead use the Western Ring on State Highways 16 and 18 today, with motorists warned the bridge will be closed if needed.
"We advise motorists to plan ahead and allow extra time for their journeys. Drive to the conditions, keep within your lane when crossing the bridge and keep to the speed limit," Auckland System Manager Andrea Williamson said.
"Safety is our priority and we will not hesitate to close the bridge if that becomes necessary.
"Waka Kotahi will be closely monitoring the changing weather conditions with MetService and will provide updates on social media and our Journey Planner."
Less than two months ago a freak 127km/h wind gust blew a truck over, forcing it into a critical load-bearing strut and triggering a closure of the bridge.
The damage caused chaos for commuters, bringing the city to a standstill.
Motorists had been forced to use alternate routes, often taking two hours to reach one side of the city from the other in peak-hour travel after the bridge was reduced to six lanes for more than a fortnight.