Evra is adamant this United side are not content just to have broken Liverpool's record of 18 titles and want to add many more in the years to come.
"Of course this is a great achievement and we're very pleased to be part of it, but we have the players and the quality to win more than 19," he told Inside United magazine.
"Our aim every year is to win the league and we won't stop here. When you play for Manchester United your target is always to win the league. Losing it by a point last season was difficult to accept and I felt like I had not done my job properly. This year there is a big satisfaction."