The report claims Hazard is often the first off the training pitch, and heads straight home after lunch rather than staying around the training ground with the rest of the squad.
Mourinho warned Hazard against "wasting his talent" at the start of the season shortly after taking over as Chelsea boss.
And the report suggests there's a feeling around the Chelsea training ground that the Belgian is not making the most of his undoubted natural ability.
He was dropped from the match-day squad earlier this season after returning from France late - he reportedly missed an important preparation training session and Mourinho did not pick him against Schalke in the Champions League.
The 22-year-old winger joined the Stamford Bridge club in a £32m deal from Lille last summer, and enjoyed an impressive debut campaign.
Mourinho has challenged him to become more consistent, and this report seems to be another carefully aimed nudge in Hazard's direction.
The Chelsea boss let his frustration show after his side's lacklustre performance against Sunderland in the Capital One Cup on Tuesday night.
The Blues crashed out after extra time 2-1 at the Stadium of Light.