Monday 22 May 2017 08:52, UK
Adrian will remain with West Ham for the next two years after the Premier League club activated a clause in his contract.
The 30-year-old Spanish goalkeeper, who has made over 100 appearances for the Hammers since joining the club from Real Betis in 2013, has kept three clean sheets in the last five league games and six in 19.
"Adrian is out of contract but we have an option, and we activated that option," said Bilic. "He is our player and we are happy with him."
The Hammers boss also revealed the club are also looking to add to their squad during the close season but claimed media speculation about potential targets was wide of the mark.
"Most players are linked with West Ham in the papers. To be fair, the big majority of those rumours, there is no truth in them," he added.
"But we have our targets and we are going to try to do them."