The 20-year-old made 12 starts in the Premier League last season, but has only featured in two matches in the current league campaign.
The close-season signings of Mamadou Sakho, Kolo Toure and Tiago Ilori have pushed him down the pecking order at Anfield, and Brendan Rodgers has agreed a spell of first-team football in the Championship will be beneficial for Wisdom's development.
Wisdom – who is a product of Liverpool's youth academy - is new Derby head coach Steve McClaren's second loan signing in the last seven days having agreed a short-term deal with Tottenham for Simon Dawkins on Friday.
"Andre is a very good and a promising player who we're delighted to welcome to Derby County," he told the club's official website.
"Liverpool obviously think a lot of him but he's at the stage of his development where he needs to play some first-team games, and we're delighted they see Derby as the place to do that.
"We've had a few injuries in defence of late and Andre will bring extra qualities as well as more competition for places, which is always welcome."
Wisdom – who is captain of the England Under-21 side – is expected to make his debut in Derby's match with Birmingham City on Saturday.
