TUI would also move its headquarters from the northern German city of Hanover to the port of Hamburg, where Hapag-Lloyd is based, the Financial Times Deutschland said.
"The main goal is to prevent a separation of maritime transport (activities) from the rest of the group," it quoted TUI boss Michael Frenzel as saying in a letter that called supervisory board members to a January 23 meeting.
If the plan is approved, it could end chronic speculation about a break-up of TUI, but disappoint investors that disagree with how Frenzel is running the company.
"The maintanence and reinforcement of our core activity ... of maritime transport is a priority," the head of TUI was quoted as saying.
TUI reaffirmed recently that it remained "attached to its two pillars, tourism and maritime transport".
A company spokesman contacted by the Financial Times Deutschland declined to comment.
Frenzel has been head of TUI for 13 years, but faces stiff criticism from US investor Guy Wyser-Pratte and others.
In November, Frenzel's contract was nonetheless extended until March 2012.