According to a report in The Mail on Sunday the company, which provide a range of services for the over-50s, has appointed advisers from Duff & Phelps to shift Titan Travel.
It said the company has come under pressure from an American hedge fund, which bought a 5% stake in Saga last year, to make the move.
The sale of Titan could represent 25% of Saga’s total value if it is sold between £100million and £150million, the newspaper’s sources said.
Potential purchasers are reported as Riviera Travel, Travelopia and private equity firms including ECI Partners and Graphite Capital.
A spokesperson from Saga said it “does not comment on speculation”.