The company confirmed the store will close on October 22.
A spokeswoman for New Look said: "We can confirm that this store is closing on October 22, 2020. We don’t have any additional information to share on this.
"Customers can continue to shop with us online"
It is not known how many jobs will be affected in terms of whether redundancies will be made of staff will be asked to move to other stores.
It comes after the closure of Waitrose on Pride Hill was announced earlier this week.