In a small saucepan over medium heat combine the 2 tablespoons of milk with the instant coffee and chocolate. Cook, stirring constantly, until chocolate is melted. Remove from heat and let the mixture cool slightly.
Meanwhile, in a bowl, beat the 1 1/3 cups of milk with the pudding mix until well blended and thickened, about 2 minutes.
Blend the melted chocolate mixture into the pudding mixture. Fold in the whipped topping until well blended. Spoon into dessert dishes and refrigerate until serving time.