The existence of density-bounded HII regions in spiral galaxies is supported by means of a spectral indicator based on the intensity of the [OI]λ6300 forbidden line. A grid of photoionization models providing spectral information on density-bounded nebulae is presented in order to test the validity of our indicator. The indicator is applicable to typical observed HII regions with solar or higher metallicities, and for the range of ages observed in normal HII regions. When applying the diagnostic to a large sample of HII regions of spiral galaxies taken from the literature, we find that a fraction of the selected HII regions with emission detected in the [OI]λ6300 line turn out to be consistent with the predictions of density-bounded photoionization models. Preliminary estimates of the fraction of Lyman continuum photons escaping ranges from 20 to 40 per cent. The number of density-bounded HII regions could be even larger after confirmation of those regions for which the [OI] line was not detected, provided they are good density-bounded candidates. We stress the importance of having combined information on both good measurements or reliable upper limits for the intensity of this line, and good determinations of the Hα luminosity for complete samples of HII regions in galaxies in order to make proper estimations as to whether ultraviolet photons escaping from HII regions are the main source of ionization of the diffuse ionized medium in galaxies.