The search performed in the DELPHI experiment at LEP for charginos mas
s-degenerate with the lightest neutralino, assumed to be the Lightest
Supersymmetric Particle (LSP), is described. Degeneracies below 3 GeV/
c(2) are not considered so far in the standard searches, because of th
e loss of efficiency. Several search strategies are proposed here for
the runs of LEP at high energy, each of which is able to explore a dif
ferent range in the mass splitting between the chargino and the neutra
lino.