A parallax method to determine transverse velocity in a gravitationally lensed system is described .
Using the annual motion of the Earth around the Sun allows us to probe the local structure of the magnification map that , under certain assumptions , can be used to infer the effective transverse velocity .
The method is applied to OGLE data for QSO2237+0305 and the velocity value is estimated to be about 15 \pm 10 \mathrm { km } \mathrm { s } ^ { -1 } if attributed to the lensing galaxy or about 420 \pm 300 \mathrm { km } \mathrm { s } ^ { -1 } 
if attributed to the quasar .
We find this estimate unreasonably small and conclude that we have not measured a parallax effect .
We give a short list of properties that a system should possess to allow a successful implementation of this method .