CIGNA International is moving its South East office from London to Redhill, Surrey.
The new London Road office is more modern and spacious than the previous premises.
It will house 20 staff, with the remainder of CIGNA'S 330 staff still to be based in Greenock, Scotland.
CIGNA spokesman Jack Wright explained: "We made the decision to move out of central London when the opportunity arose to take space in this modern building in a convenient, central location."