Titan Travel, an escorted touring brand, and Destinology?, an online luxury tour operator, are two of Saga’s four travel brands. It also operates Saga Cruises and Saga Holidays.
It is understood Lance Batchelor, the company’s chief executive, wants to focus on its Saga-branded businesses.
Destinology was acquired in 2014 for an undisclosed sum, while Titan has been owned by Saga for 10 years.
Saga is building two new cruise ships to replace Saga Pearl II and Saga Sapphire.
A company spokeswoman said: “We do not comment on market speculation.”
