BP is said to be planning to put one of its buildings in Houston on the market.
The move comes after Chevron announced last month it would be putting two of its buildings up for sale.
According to reports in the Houston Business Journal, the oil major will lease back the space to a new owner.
A spokesman said the decision had no impact on the company’s commitment to the US.
Earlier this year BP revealed it would be reducing its head count in Houston by 500 employees.
The company is understood to be planning to leave the Westlake Four building by the beginning of next year while the lease expires in 2023.