Derby, humiliated by Blackpool in the Carling Cup midweek, are the only club without a Premier League win, and are yet to score on their league travels.
The Merseysiders, who qualified for the Champions League group stages with a 4-0 home win over Toulouse on Tuesday night, have made their best start to a league season in five years; failure to win for the Rams would make it their worst ever start to a Premier League campaign.
Derby's only Premier League victory at Anfield was 1-2 on 7 November 1998, when Kevin Harper and Paulo Wanchope were on target.