  Here, we present a study on the Fermi-surface of the Dirac type-II
semi-metallic candidate NiTe$_2$ via the temperature and angular dependence of
the de Haas-van Alphen (dHvA) effect measured in single-crystals grown through
Te flux. In contrast to its isostructural compounds like PtSe$_2$, band
structure calculations predict NiTe$_2$ to display a tilted Dirac node very
close to its Fermi level that is located along the $\Gamma$ to A high symmetry
direction within its first Brillouin zone (FBZ). The angular dependence of the
dHvA frequencies is found to be in agreement with the first-principle
calculations when the electronic bands are slightly shifted with respect to the
Fermi level ($\varepsilon_F$), and therefore provide support for the existence
of a Dirac type-II node in NiTe$_2$. Nevertheless, we observed mild
disagreements between experimental observations and density Functional theory
calculations as, for example, nearly isotropic and light experimental effective
masses. This indicates that the dispersion of the bands is not well captured by
DFT. Despite the coexistence of Dirac-like fermions with topologically trivial
carriers, samples of the highest quality display an anomalous and large, either
linear or sub-linear magnetoresistivity. This suggests that Lorentz invariance
breaking Dirac-like quasiparticles dominate the carrier transport in this
compound.
