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We present a method for the determination of upper limits on the transversevelocity of the lensing galaxy in the quadruple quasar system Q2237+0305, basedon the lack of strong microlensing signatures in the quasar lightcurves. Thelimits we derive here are based on four months of high quality monitoring data,by comparing the low amplitudes of the lightcurves of the four components withextensive numerical simulations. We make use of the absence of strongvariability of the components (especially components B and D) to infer that a"flat" time interval of such a length is only compatible with an effectivetransverse velocity of the lensing galaxy of v_bulk <=630 km/s for typicalmicrolenses masses of M_microlens=0.1 M_solar (or v_bulk <=2160 km/s forM_microlens=1.0 M_solar) at the 90% confidence level. This method may beapplicable in the future to other systems.Comment: 7 pages, 5 figures, accepted for publication in Astronomy &  Astrophysic

Limits on the transverse velocity of the lensing galaxy in Q2237+0305 from the lack of strong microlensing variability