The likes of Marc-Andre ter Stegen and Pepe Reina, of Borussia Monchengladbach and Napoli respectively, have been touted as his successor and the 52-year-old is close to securing his top target.
"I already know the name of the goalkeeper who is going to replace Valdes and he's practically already signed," he told Catalunya Radio.
"We just have to give it a little more time, before we make the announcement."
Zubizarreta, himself a former Barca goalkeeper, is expecting to have a busy close-season after Carles Puyol announced that he would also leave at the end of the current campaign.
"We knew that Victor Valdes wasn't going to stay, now we know that Carles Puyol isn't going to either," he added.
"They have been two obvious references in our squad. Just taking these two players into account, I would say that it's already now more than the tweaks we had envisaged."