Line an 8x8- or 9x9-inch pan with foil and lightly spray the foil with nonstick cooking spray; set aside.
Place the chocolate chips and sweetened condensed milk in a medium saucepan over low heat.
Warm gently, stirring frequently, until the chocolate chips are completely melted and the mixture is smooth; keep heat low to avoid scorching.
Remove the pan from heat and stir in the vanilla extract and Amaretto until evenly combined.
Quickly pour and spread the fudge mixture into the prepared pan using a spatula.
Immediately sprinkle the sliced toasted almonds evenly over the top and press lightly so they adhere.
Let the fudge cool at room temperature until it is set, then chill in the refrigerator until fully hardened before slicing into 36 pieces.