The 19-year-old left-back is regarded as one of the most exciting young prospects in French football and has reportedly attracted interest from a host of clubs, with United rumoured to be considering a summer move.
Digne said: "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."
The defender says there is no danger of him becoming distracted by such transfer talk because he is enjoying life at Lille.
He told Le 10 Sport: "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."