Hypothesis : Amphiphilic diblock copolymers are known to increase the surfactant's efficiency to stabilize microemulsion, leading to higher structural order and monolayer rigidity. We thus seek to evaluate whether the addition of such polymers alters the shear behavior of bicontinuous microemulsions, in particular, their shear transformation towards lamellar structures. Experiments : We examine the initial structure and shear response of bicontinuous D 2 O/ n -octane/C 10 E 4 /PEP 5 - b - PEO 5 microemulsions by coupling microfluidics with small -angle neutron scattering (SANS), attaining wall shear rates in excess of 10 5 s -1 . The azimuthal analysis of the obtained 2D scattering patterns allows us to follow their structural transformation by means of the degree of anisotropy. Findings : The amphiphilic diblock copolymer promotes the shear -induced transformation of bicontinuous microemulsions, resulting in up to similar to 30 % higher degrees of anisotropy than for corresponding polymer -free microemulsions. The increased shear response observed with increasing polymer content is rationalized by combining the influence of domain size and viscosity with the stability limits of the bicontinuous microemulsion in the isothermal phase diagram. As a result, a consistent description of the degree of anisotropy is obtained, enabling the prediction of the shear -induced bicontinuous-to-lamellar transformation.