The WA Government's plans for the Elizabeth Quay site have suffered a setback with Chevron Australia asking for a two-year delay in building its tower.

The Metropolitan Redevelopment Authority (MRA), which manages the site, said it had received and was reviewing a formal request from Chevron to amend its project agreement.

Construction of the tower on the corner of Barrack Street and the Esplanade was due to begin next year.

Chevron purchased the lot from the State Government in 2013 for $64 million.

The MRA issued a short statement confirming Chevron's request.

"Should construction be delayed the MRA will work with Chevron to ensure that the site is offered as a public space and the area is activated until building commences," the statement said.

"The MRA has seen Chevron's proposed design for the building which will become their Perth headquarters at Elizabeth Quay.

"The MRA looks forward to receiving the development application."

In a statement, Chevron said it remained committed to the project, but its immediate focus was on the completion of its Gorgon and Wheatstone LNG projects currently under construction off WA's north-west coast.

WA Premier Colin Barnett said he was confident of Chevron's commitment to the development and understands Gorgon and Wheatstone are the company's current priorities.