Earlier this month, it was claimed that the Terriers had failed with a £7.2m bid for the 25-year-old, who could be allowed to leave the iPro Stadium this summer.
However, according to The Sun, Wagner has decided to make another offer for the wideman, which is said to be closer to Derby's £10m valuation.
Last season, Ince contributed 14 goals and six assists from 45 appearances in the Championship, but he is keen to ply his trade in the top flight during the next campaign.
Huddersfield can potentially offer him first-team football at the John Smith's Stadium after they earned their place among English football's elite for the first time since 1972.
Ince had been expected to make the breakthrough in the division earlier in his career but he has made just 15 outings.