My Brother printer not working in macOS Big Sur(11.3.1)
Brother recommends using AirPrint with Big Sur. Unfortunately, your model does not support AirPrint. As an alternative, Brother recommends you download Brother iPrint&amp;Scan from the Apple App Store. Note: Most reviews for the Brother iPrint&amp;Scan software are not very good.
When viewing the Downloads webpage, there is no printer driver available for macOS 11. Therefore I would assume Brother will not be releasing a printer driver for your current macOS 11.3.1.