Manchester City, who have had a £25million bid rejected, have now made a £30million bid for the midfielder.
But Chelsea boss Carlo Ancelotti believes Champions League football could tempt Milner into making a move to Stamford Bridge.
A Chelsea insider told The Sun: “Losing out to City for Robinho was embarrassing at the time, even if it did turn out to be a lucky escape.
“But we are determined to get our man this time and we are very confident it will happen.”
