The nearest alternative provision is Finchfield Library, White Oak Drive, which will be open from 10am to 1pm and 2pm to 7pm. Tettenhall Library is expected to be open as normal on Friday.
Councillor Jasbir Jaspal, Cabinet Member for Public Health and Wellbeing, said: "Although this is due to circumstances beyond our control, we apologise in advance for any inconvenience the temporary closure of Tettenhall Library on Thursday may cause.
"It should reopen as normal on Friday but customers are reminded that their membership enables them to use Finchfield Library or indeed any other library in the city."
It's free to join Wolverhampton's libraries – to find out more, please visit Libraries, call 01902 552025 or follow the library service on social media at Facebook and Twitter.