DVLA have said that they are experiencing delays with processing paper applications because of reduced staffing levels, due to a combination of Covid-19 and ongoing industrial action.
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As such, they’ve warned that paper applications, including where further information has been required from you after an online application, are likely to take 6 to 10 weeks to process. Additionally, there may be further delays in processing more complex transactions, for example, if medical investigations are needed as part of your driving licence application.