Precast, prestressed concrete hollow-core (HC) slabs produced using the extrusion method exhibit weak shear capacity owing to longitudinal voids and the absence of shear reinforcement. Literature reviews demonstrate that these slabs tend to collapse in web-shear mode under loads lower than those anticipated by some standards, raising significant safety concerns. However, it's important to note that most tests were conducted without a concrete topping. In practice, HC slabs typically include a concrete topping with a thickness ranging from 40 to 75 mm. To examine the performance of HC slabs with concrete topping under realistic conditions, seven slabs were modeled in Abaqus/Explicit: two without a topping and the other five with a 40 or 75 mm concrete topping. The CDP Model was utilized to feature the nonlinear behavior of concrete. Numerical analyses revealed that the concrete topping significantly enhances the shear capacity of HC slabs. The thickness of the topping layer also influences the resistance of HC slabs. However, the improvement depends on loading schemes. Additionally, web-shear strength is influenced by the position of loading. Furthermore, with similar loading schemes, the concrete topping does not help to avoid brittle, web-shear failure.