  A modified Hayward black hole is a nonsingular black hole. It is proposed to
form when the pressure generated by quantum gravity can stop matter's collapse
as the matter reaches Planck density. Strong deflection gravitational lensing
happening nearby its event horizon might provide some clues of these quantum
effects in its central core. We investigate observables of the strong
deflection lensing, including angular separations, brightness differences and
time delays between its relativistic images, and estimate their values for the
supermassive black hole in the Galactic center. We find that it is possible to
distinguish the modified Hayward black hole from a Schwarzschild one, but it
demands very high resolution beyond current stage.
