The data used in the publication consist of a set of CaII H spectra taken near and beyond the solar limb on 25/08/2009 at UT 08:43-09:15. The data were obtained with the POLIS instrument at the German VTT. The wavelength range covers the core and the blue wing of the CaII H line from 396.332nm to 396.969nm in 326 steps of 1.96pm. The observations were done by moving the solar image across the slit of the spectrograph with a step width of 0.3-arcsec, yielding in total 134 slit spectra of 326 wavelength points on 244 CCD rows along the slit. The spatial sampling along the slit was 0.3-arcsec. The center of the field-of-view was located at (x,y)=(+37",+920") relative to the center of the solar disk. The data have been corrected for stray-light with the methods described in the article and are normalized to the continuum intensity on disc center. The corresponding data file data.fit is organized as floating array (x,y,wavelength)=(134x244x326) pixels. (1 data file).