A total of 50,864 cars will be recalled in the UK, and owners of affected models are expected to be contacted this week.
VW has said the fix is free of charge, and will take around 30 minutes.
The cars that require the fix are powered by the 2.0-litre diesel unit from the EA 189 diesel engine family. This UK recall is part of a European-wide fix for around 800,000 cars, which includes the two Passat models and, outside of the UK, the Volkswagen Eos.
The manufacturer has also confirmed that the KBA, which approved this fix, found no change to fuel consumption, performance or noise emissions in the vehicles after it had been implemented.