Abnormal properties of the normal state of high T-c superconductors ha
ve lead to models which discard the normal Fermi liquid picture. We pr
opose a phenomenological model to describe the electrons in a marginal
Fermi liquid approach of a quasi-2D conductor exhibiting a Van Hove s
ingularity at the Fermi level. We assume a self-energy with a Fermi li
quid behaviour near the Fermi energy and a marginal behaviour for ener
gies higher than a crossover energy omega(c). This leads to the destru
ction of the Van Hove singularity and to the opening of a pseudogap ne
ar the Fermi level. We show that the Pauli susceptibility is temperatu
re dependent and we can relate the pseudogap width with the crossover
energy omega(c).