Jones will join BBH London in an as-yet undefined role, and, according to sources, is viewed internally as the natural successor to the agency's co-founder and group chief executive, Nigel Bogle.
The agency has denied speculation that he will take up the role of global chief operating officer, or that he will replace Simon Sherwood, who currently holds that position.
Instead, Sherwood said that Jones, who is currently on sabbatical, would come back to the London agency in January next year, and the agency's senior management responsibilities would then be divided up accordingly.
He said: "We'll announce the new roles and responsibilities later in the year, once the final details have been worked out. No-one will be leaving the agency, especially me."
Jones began his career at BBH in 1987 as its very first graduate. He worked his way up, earning promotion from managing director to chief executive in May 2004. Four months later, he was moved to the New York office, replacing Cindy Gallop as its chief executive when she was promoted.