Details of the talks were not immediately clear and any potential deal could still fall apart, according to the person.
The Wall Street Journal earlier reported the talks and said there is no guarantee that antitrust regulators would approve if there is any agreement.
Analysts at that time pointed out that the deal would help Air Liquide overtake rivals including Linde AG, Air Products and Praxair to top spot in North America and speed diversification away from slow-growth Europe.
Praxair is an industrial gas supplier in North and South America, Asia and Europe, while Linde Group's core business division offers planning, project development and construction of turnkey industrial plants used in fields, such as petrochemical and chemical industries.
The companies could not be immediately reached for comment after regular business hours.