Health insurer Humana Inc. is considering selling the company, a move that could trigger a widely anticipated wave of consolidation in the industry.

Humana HUM, +1.29% has received indications of takeover interest and is working with advisers at Goldman Sachs Group Inc., according to people familiar with the matter. Aetna Inc. US:AET and Cigna Corp. CI, -0.63% are among those that have held preliminary discussions with the company, some of the people said.