Obscuration in high-redshift quasi-stellar objects (QSO) has a profound
impact on our understanding of the evolution of supermassive black holes across
the cosmic time. An accurate quantification of its relevance is therefore
mandatory. We present a study aimed at evaluating the importance of obscuration
in high redshift jetted QSO, i.e. those active nuclei characterized by the
presence of powerful relativistic jets. We compare the observed number of radio
detected QSO at different radio flux density limits with the value predicted by
the beaming model on the basis of the number of oriented sources (blazars). Any
significant deficit of radio-detected QSO compared to the predictions can be
caused by the presence of obscuration along large angles from the jet
direction. We apply this method to two sizable samples characterized by the
same optical limit (mag=21) but significantly different radio density limits
(30 mJy and 1 mJy respectively) and containing a total of 87 independent
radio-loud 4<z<6.8 QSO, 31 of which classified as blazars. We find a general
good agreement between the numbers predicted by the model and those actually
observed, with only a marginal discrepancy at 0.5 mJy that could be caused by
the lack of completeness of the sample. We conclude that we have no evidence of
obscuration within angles 10-20deg from the relativistic jet direction. We also
show how the ongoing deep wide-angle radio surveys will be instrumental to test
the presence of obscuration at much larger angles, up to 30-35deg. We finally
suggest that, depending on the actual fraction of obscured QSO, relativistic
jets could be much more common at high redshifts compared to what is usually
observed in the local UniverseComment: 14 pages, 5 figures. Accepted for publication on A&