A deal was agreed between the Reds and the Championship side last month for the 24-year-old to make the move – a return to the Rams following his loan spell in 2013-14.
Wisdom – who can play at centre-back and right-back – progressed through the ranks at the Academy to earn a first-team debut in September 2012, which he marked with a goal in the Europa League victory over Young Boys.
The versatile defender featured in a further 21 games for Liverpool, while building up senior experience during recent seasons with loans at West Bromwich Albion, Norwich City and Red Bull Salzburg.