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In this work it is studied the Hopfield fermionic spin glass model whichallows interpolating from trivial randomness to a highly frustrated regime.Therefore, it is possible to investigate whether or not frustration is anessential ingredient which would allow this magnetic disordered model topresent naturally inverse freezing by comparing the two limits, trivialrandomness and highly frustrated regime and how different levels of frustrationcould affect such unconventional phase transition. The problem is expressed inthe path integral formalism where the spin operators are represented bybilinear combinations of Grassmann variables. The Grand Canonical Potential isobtained within the static approximation and one-step replica symmetry breakingscheme. As a result, phase diagrams temperature {\it versus} the chemicalpotential are obtained for several levels of frustration. Particularly, whenthe level of frustration is diminished, the reentrance related to the inversefreezing is gradually suppressed.

Inverse freezing in the Hopfield Fermionic Ising Spin Glass