My name is wrongly mentioned in my UK biometric residence permit (BRP). Say the actual name printed on the passport be "John Richard Doe", with "John  Richard" as the first name and "Doe" as the surname. However, in the BRP, the name is printed as "John" as the first name and "Richard Doe" as the surname. 

I am travelling outside the UK next week and feel there will be issues during the UK exit/entry. I didn't notice this error when the BRP was issued, and don't think there is enough time to correct the BRP. 

Does this situation require immediate correction on the BRP before travel? If so, is there a way to speed up the BRP correction process?