Bronze statues of former manager Herbert Chapman, double-winning captain Tony Adams and record goalscorer Thierry Henry are already in place around the ground at Ashburton Grove, where Arsenal moved from Highbury in 2006.
Images of a cast for Bergkamp were leaked online, and the club issued a statement on their website confirming the plans.
Holland international Bergkamp scored 120 goals for the Gunners, before retiring in 2006, helping spearhead Arsene Wenger’s team to unprecedented domestic success as part of the Invincibles’ unbeaten Premier League season of 2003-04.
Bergkamp said: “First of all, I am honoured that this is going to happen. It makes me very proud. Everyone knows that I love Arsenal and that I had a fantastic time at the club.
“For me and my family it was an important period in our lives. Next to that the people were great, the team was amazing and we had a lot of success over the years.
“I will do everything I can to be there when it will be unveiled. It will definitely be a special moment for me which I don’t want to miss.”