The 19-year-old is being linked with a summer move away from the Ligue 1 side, with the Premier League leaders among those said to be interested in the defender.
Digne told Le 10 Sport: "Manchester United, they are a top club and to be linked with them means you must be doing something well, but I will not lose sleep.
"I live day to day because I feel very happy at Lille, this is the club of my heart, the club that developed me. I do not make plans in a rush. I am very much at Lille, I am not planning to leave.
"I see things from the perspective of staying for a while to continue to play regularly, gain experience and develop."
Digne has made 13 league appearances for Lille so far this season.