We present a detailed study of the effect of internal bremsstrahlung photons in the context of the minimal supersymmetric standard models and their impact on γ-ray dark matter annihilation searches. We find that although this effect has to be included for the correct evaluation of fluxes of high energy photons from neutralino annihilation, its contribution is relevant only in models and at energies where the lines contribution is dominant over the secondary photons. Therefore, we find that the most optimistic supersymmetric scenarios for dark matter detection do not change significantly when including the internal bremsstrahlung. As an example, we review the γ-ray dark matter detection prospects of the Draco dwarf spheroidal galaxy for the MAGIC stereoscopic system and the CTA project. Though the flux of high energy photons is enhanced by an order of magnitude in some regions of the parameter space, the expected fluxes are still much below the sensitivity of the instruments. The minimal supersymmetric (SUSY) extension of the standard model (MSSM) provides a natural candidate for dark matter (DM) in the form of a neutral, stable Majorana fermion, the lightest neutralino. At present, large efforts are being carried out to detect this SUSY DM by different methods, see [1] for reviews.In the case of the current imaging atmospheric Cherenkov telescopes (IACTs), the searches are based on the detectability of γ-rays coming from the annihilation of the SUSY DM particles in the halo of galaxies [2]. Neutralinos annihilate at the one loop level into photons through the processes [3] χχ → γγ, χχ → Zγ, with almost monochromatic outgoing photons of energies E γ ∼ m χ E γ ∼ m χ − m 2 Z /4m χ , respectively. Moreover, neutralino annihilation can produce a continuum spectrum of secondary photons from hadronization and decay of the annihilation products, mostly from neutral pion decay, which typically dominates over the number monochromatic γ's in a large portion of the parameter space. IACTs in operation like MAGIC, HESS, VER-ITAS [4] or satellites-based experiments like the Fermi satellite [5] play a very important role in this kind of DM searches. For these experiments, dwarf spheroidal (dSph) galaxies around the Milky Way represent a good alternative target option to e.g. the Galactic Center, already observed in γ-rays but with null DM detection so far [6]. Dsphs are DM dominated systems with inferred very high mass-to-light ratios, and most of them are expected to be free from any other astrophysical source that might contribute to a possible γ-ray signal. Therefore, the detection of γ-rays from them would probably imply a successful DM annihilation detection.