The bridge will close from 9pm to 7am on Sunday to all traffic, pedestrians and cyclists to allow maintenance work to take place.
The work, which involves changing two bearings at the Barton end, was brought forward after the bridge was buffeted by 80mph winds during Storm Ciara.
Chief Operating Officer Andrew Arundel said the work involved lifting up the road deck a small amount to enable the bearings to be replaced.
He said this weekend had been chosen because of a favourable weather forecast and they are confident the work can be done in a single night.
Europe' s largest travelling fair, which has more than 300 attractions, Hull Fair starts on Friday and runs until Saturday October 16, from 2pm to 11pm daily (from 12noon on Saturday).
Two new rides are coming for the first time this year, Ice Jet and extreme ride The Void, as well as three big wheels.
Mr Arundel said: “Now the long period of investigation work has been carried out and the extent of the problem identified, it is essential we carry out the necessary maintenance work
at the earliest opportunity.
“The weekend of the 9th has been selected because the weather is sufficiently good for us to be able to complete the works.
“Although we appreciate it will always be inconvenient to some users to close the bridge at any time, by closing overnight on a weekend, we hope to minimise the disruption caused."
He said once the work was done, cones that had caused "significant frustration" among bridge users would finally go.
Emergency service vehicles will be able to cross the bridge during the maintenance work.
Other bridge users are encouraged to either reschedule non-essential journeys or set aside more time to travel via Goole.