The Reds come into the game top of the Premier League with a perfect start to the campaign.
The Blues have won just two of their five league games and suffered a 1-0 defeat at the hands of Valencia in Champions League on Tuesday night.
Wright says Liverpool will win 3-1.
Elsewhere, Wright believes Arsenal will bounce back from their draw at Watford with a 2-1 win over Aston Villa at the Emirates.
West Ham to beat Manchester United 2-1 at the London Stadium, is perhaps the biggest shock in Wright’s predictions.
