Qualified solicitors are required to register with Solicitors Regulation Authority (SRA) to practice law in England and Wales.
The BBC understands the SRA contacted Reynolds in January in relation to an error on his LinkedIn profile.
The SRA clarified the rules and the business secretary then corrected what has been described as an “administrative error”.
An SRA spokesperson said: “Our regulatory role is to protect the interests of users of legal services.
“We are aware of this issue, however having considered all factors involved, there is no need for us to take any action.”
Labour sources have suggested Reynolds does not manage the LinkedIn profile.
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