We here report the detection of extended He ii λ4686 nebular emission in the central region of NGC 1569 using the integral field spectrograph MEGARA at the 10.4-m Gran Telescopio Canarias. The observations cover a Field of View (FoV) of 12.5 arcsec×11.3 arcsec at seeing-limited spatial resolution of ∼15 pc and at a spectral resolution of R=6000 in the wavelength range 4330-5200Å. The emission extends over a semi-circular arc of ∼40 pc width and ∼150 pc diameter around the super star cluster A (SSC-A). The A V derived using Balmer decrement varies from the Galactic value of 1.6 mag to a maximum of ∼4.5 mag, with a mean value of 2.65±0.60 mag. We infer 124±11 Wolf-Rayet (WR) stars in SSC-A using the He ii λ4686 broad feature and A V =2.3 mag. The He + ionizing photon rate from these WR stars is sufficient to explain the luminosity of the He ii nebula. The observationally-determined total He + and H 0 ionizing photon rates, their ratio, and the observed number of WR stars in SSC-A are all consistent with the predictions of simple stellar population models at an age of 4.0±0.5 Myr, and mass of (5.5±0.5)×10 5 M. Our observations reinforce the absence of WR stars in SSC-B, the second most massive cluster in the FoV. None of the other locations in our FoV where He ii λ4686 emission has been reported from narrow-band imaging observations contain WR stars.