Company said it has neither sought nor received assurances it would not be hit with border taxes when it ships parts to Britain.
The automaker is guilty of selling cars that failed US federal crash tests.
Recall covers the Mini Cooper and Cooper S models from 2002 to 2005.
The German automaker is pumping $1.2 billion into producing the newest version of Mini in the UK.
Automaker introduces electric and 4-door version of its stylish compact.