We report the angular diameter measurements of seven classical Cepheids, X Sgr, η Aql, W Sgr, ζ Gem, β Dor, Y Oph, and l Car, that we have obtained with the VLT Interferometer Commissioning Instrument, installed at ESO’s VLT Interferometer. For four of these stars, η Aql, W Sgr, β Dor, and l Car, we detect the pulsational variation of their angular diameter. This enables us to compute directly their distances using a modified version of the Baade-Wesselink method. For X Sgr, ς Gem, and Y Oph, we apply a hybrid method that makes use of published estimates of their linear diameters to derive their distances.