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We have performed optical polarimetric observations of the SN2006ajassociated to the X-ray flash (XRF) of February 18, 2006, XRF060218 thatprovide information on its expansion geometry. The data were acquired in theR-band with the 0.7m telescope of Crimea, 2.5m Nordic Optical Telescope and the2.2m of Calar Alto. We report the detection of linear polarization between 3and 39 days after the gamma-ray event (t-t_0). This represents the firstpolarization detection of a Ic supernova (SN) associated to an XRF. Our dataexhibit a degree of linear polarization (P) around P~4% at t-t_0 ~ 3-5 days,followed by a constant polarization phase with P~1.4% at 13.7 < t-t_0 < 39days. Our data suggest a decay in P, and more interestingly, show a positionangle (\theta) rotation of ~100 degrees comparing data taken before and afterthe R-band lightcurve peak. The reported polarization measurements can beexplained by the evolution of an asymmetric SN expansion. We discuss on severalingredients that could account for the observed \theta rotation.Comment: Submitted to A&A. Revised version, comments of the referee included.  4 pages, 3 figure

Detection of optical linear polarization in the SN 2006aj/XRF 060218 non-spherical expansion