The British arm of Cox & Kings is seeking new backers and appointed KPMG to assist in the search.
Sky News reports the company is in discussions with several parties, including private equity firms, about a deal.
The luxury specialist, which employs about 80 people in the UK, was founded 261 years ago.
A spokesperson for Cox & Kings UK said: "Having successfully achieved an extension of its licence from the CAA, Cox & Kings UK is now actively seeking an investment partner with whom we can take the business forward.
"Advisors from KPMG have been appointed to assist us with this process.
"We are proud to have a strong brand here in the UK, something which has been reflected by the interest and enthusiasm we have seen from potential buyers so far."
Its Indian namesake, Cox & Kings India, has suffered financially in recent months.
