We employed recently computed evolutionary white-dwarf models with helium c
ores, supplemented by heavier models with carbon-oxygen cores, in order to
investigate the ages of millisecond pulsar systems based on the cooling pro
perties of the compact companions. Contrary to the behaviour of more massiv
e white dwarfs, the evolutionary speed of low-mass white-dwarf models is su
bstantially slowed down by ongoing hydrogen burning. By comparing the cooli
ng ages of these models with the spin-down ages of the pulsars for those sy
stems for which reasonable information about the compact companions is avai
lable, we found good correspondence between both ages. Based on these model
s any revisions concerning the temporal evolution of millisecond pulsars do
not appear to be necessary.