The No.7 was captain at Vitality Stadium as the Reds eased to a comprehensive victory courtesy of Mohamed Salah’s hat-trick and Steve Cook’s own goal.
Milner, who played at right-back against the Cherries, became only the 13th man to reach the games landmark and the first since Steven Gerrard in April 2015.
“What a career he has had. He has played at the top for all of it and played for some really good clubs,” Robertson told Liverpoolfc.com post-match.
“He is still the fittest in the squad and is still pushing himself every single day. I’m sure he’ll go on and do incredible numbers.