Recent determinations of chemical abundances in high redshift DLA syst
ems suggest that the relative abundances of elements may be close to t
he solar ones, although with absolute abundances more than two orders
of magnitude lower than solar (Molaro et al. 1995). This result comes
either from DLA absorbers with negligible dust contribution and neglig
ible HII contamination, or from the [SII/ZnII] ratio, which is a relia
ble diagnostic of the true abundance. In two systems nitrogen is detec
ted at a particularly high level with [N/O]approximate to 0 (Molaro et
al. 1995, Green et al. 1995). Here we present a first attempt to expl
ain such unexpected abundance patterns in the framework of a chemical
evolution model which incorporates differential galactic winds and a p
rimary origin for nitrogen. Such model is the most successful in descr
ibing the chemical abundances of dwarf irregular galaxies. Thus, the p
resent interpretation seems to favour dwarf galaxies rather than spira
l galaxies as the progenitors of at least some of the DLA systems.