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Yes, I can confirm that this is the correct toner for your machine.
If you want to see a full list of cartridges that will work in your Brother DCP-9040CN printer, here is the link https://www.tonergiant.co.uk/model/Brother-DCP-9040CN-toner-cartridges/
On this page, you will see both the original Brother toner cartridges and our own compatible version of the cartridges.
If you need any further information, please contact our customer service team on 0345 365 3605 and they will be happy to help.