Willmott Dixon is currently in the process of signing the main contract to build the The Living Planet Centre in Woking.
David Nussbaum, chief executive of WWF-UK, said: “Once we conclude the contract process with Willmott Dixon we’ll be able to provide a much clearer picture of the building schedule for the Brewery Road site.
“We’re looking forward to working with them to create a fantastic new building that our new neighbours can be proud of.
“We’ll be able to welcome visitors to learn about our work, attain the highest standards in environmental design, reduce our carbon footprint, showcase innovative technologies and promote sustainable working.”