Former United and England international Edwards was widely considered one of the best defenders in Europe before he died aged 21 in the Munich air disaster.
The style and physique of new Red Devils signing Jones has led many onlookers to claim that the 19-year-old is in the mould of Edwards.
"It's brilliant for me to even be considered as being a player who could become as good as Duncan Edwards was," Jones told The Telegraph.
"It is flattering and, for young lads like myself and my teammates to be compared to great young players of the past, it is an amazing feeling.
"People have told me about Duncan, facts and figures about him, but I obviously know what he means to this club."
Jones has made six league appearances for United since his summer move from Blackburn Rovers.