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Almost the totality of the bright foreground sources in the WMAP CMB maps areblazars, a class of sources that show usually also X-ray emission. However, 23objects in a flux-limited sample of 140 blazars of the WMAP catalog (firstyear) were never reported before as X-ray sources. We present here the resultsof 41 Swift observations which led to the detection of all these 23 blazars inthe 0.3-10 keV band. We conclude that all micro-wave selected blazars are X-rayemitters and that the distribution of the micro-wave to X-ray spectral slope$\alpha_{mu x}$ of LBL blazars is very narrow, confirming that the X-ray fluxof most blazars is a very good estimator of their micro-wave emission. TheX-ray spectral shape of all the objects that were observed long enough to allowspectral analysis is flat and consistent with inverse Compton emission withinthe commonly accepted view where the radiation from blazars is emitted in aSychrotron-Inverse-Compton scenario. We predict that all blazars and most radiogalaxies above the sensitivity limit of the WMAP and of the Planck CMB missionsare X-ray sources detectable by the present generation of X-ray satellites. Anhypothetical all-sky soft X-ray survey with sensitivity of approximately$10^{-15}$ erg/s would be crucial to locate and remove over 100,000 blazarsfrom CMB temperature and polarization maps and therefore accurately clean theprimordial CMB signal from the largest population of extragalactic foregroundcontaminants.Comment: 13 pages, 4 figures, 5 tables, A&A in pres

Swift detection of all previously undetected blazars in a micro-wave flux-limited sample of WMAP foreground sources