Robinson is rumoured to be on Bournemouth's radar to succeed Paul Groves, who was relieved of his duties last week.
However, Winkelman told the Daily Echo: "There hasn't been any official approach from Bournemouth, no. Not that I am aware of."
Robinson, 32, has a growing reputation having guided the Dons to the League One play-offs in each of the past two seasons.
Appointed to his first managerial post aged just 29 in May 2010, Robinson became the youngest manager in English football - replacing then-Bournemouth boss Eddie Howe as the youngest in the Football League.