Available data on evaporation residue (ER) production and fission in a wide region of compound nucleus (CN) masses and entrance-channel mass-asymmetry values have been analyzed in search for the "starting point", where the fusion suppression due to the quasi-fission (QF) effect starts to show up. Comparing cross sections for the ER production and fission in reactions leading to the same CN, but having different values of entrance-channel mass-asymmetry, one can extract the fusion probability for a more symmetric combination with respect to quite an asymmetric one, where no limitation seems to occur. An attempt to find correlations between the fusion probabilities derived for the considered combinations and some entrance-channel characteristics is undertaken.The heavy ER production demonstrates a visible entrance channel effect of fusion suppression in quite asymmetric combinations of interacting nuclei. Such fusion suppression is quite unexpected, especially for the reaction induced by 19 F and 22 Ne [1, 2], since the QF effect, which is responsible for the lowering of the ER production cross section, appears in reactions with Mg and heavier projectiles, as follows from the fission reaction studies [3,4]. An explanation of the fusion suppression effect was proposed in [1], in the framework of the liquid-drop (LD) model. It is suggested that a transition from the contact configuration to the CN configuration is determined by an existence of the conditional barrier along the mass-asymmetry coordinate [5], or the entrancepoint position with respect to the Businaro-Gallone (BG) point [6]. Extrapolations in [1] of calculations [5] show that the mass-asymmetry values for the F + Au and Ne + Pt combinations leading to the Ra * compound nuclei are in the vicinity of the BG point. Calculations in the framework of the Generalized Liquid-Drop Model (GLDM) [7] show a similar behavior of the asymmetric fission barriers, which implies that the fusion suppression is starting to appear in the reactions with Ne and heavier projectiles.It is of interest to search for correlations between the heights of the asymmetric fission barrier or the entrance-channel mass-asymmetry values and the fusion probability values