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We investigate how meniscus shaping the top surface of liquid samples tested in a semi-open cell impacts results of broadband permittivity measurement. To this end, we utilize the scattering parameters of the samples with flat and distorted surfaces calculated using electromagnetic simulations in the frequency range up to 18 GHz. For determining the permittivity, we process the data using the Nicolson-Ross-Weir (NRW) technique and compare its results with the data obtained with our new meniscus removal method. This comparison clearly shows, particularly at higher microwave frequencies, that the meniscus removal approach brings about smaller errors than the established NRW technique.