Many analyses have concluded that the accretion disc sizes measured from the microlensing variability of quasars are larger than the expectations from the standard thin disc theory by a factor of \sim 4 . We propose a simply model by invoking a strong wind from the disc to flatten its radial temperature profile , which can then reconcile the size discrepancy problem . This wind model has been successfully applied to several microlensed quasars with a wind strength s \lesssim 1.3 by only considering the inward decreasing of the mass accretion rate ( where s is defined through \dot { M } ( R ) \propto ( { R } / { R _ { 0 } } ) ^ { s } ) . After further incorporating the angular momentum transferred by the wind , our model can resolve the disc size problem with an even lower wind parameter . The corrected disc sizes under the wind model are correlated with black hole masses with a slope in agreement with our modified thin disc model .