Andrea Pirlo's side recovered from their defeat by group leaders Barcelona last time out and look well set to reach the knockout stages.
In his 100th game for Juve, Morata netted in the first half and curled in a delightful second on the hour mark.
Paulo Dybala's effort and Lasha Dvali's own goal completed a comfortable win.
Franck Boli netted a late consolation for the hosts but with four goals, Morata is the joint top scorer in this season's competition alongside Manchester United striker Marcus Rashford and Liverpool forward Diogo Jota.
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