"The Rams had a £1 million bid for the 25-year-old rejected last week, as Boro hold out for a profit on the £1.3 million they paid Coventry City for the strikers in January 2012.
"But sources in the East Midlands suggest an improved offer will be forthcoming as ex-Boro boss Steve McClaren aims to build a squad to go one better than last season's Championship play-off final defeat to QPR."
The Rams have been open in admitting they're keen to strengthening their team from last season and the 6'1'' striker looks to fit that bill.
Juke, as he is nicknamed by supporters, scored seven goals and claimed three assists in 20 appearances for Bolton last season and was named by their youth team as Player of the Year.
If he does sign, he will face fierce competition from Chris Martin - who scored 25 goals last season - in order to be placed in the central strikers role in Derby's attacking three. Although, the competition for places in the Derby County squad is likely to excite supporters who hope the Boro striker is just one of many more to come.