The presence of a low-lying 1s1/2 virtual state in the n+Li-9 system,
when included in Faddeev three-body calculations, has a pronounced eff
ect on the structure of the Li-11 halo. The resulting Li-9 momentum di
stributions, calculated in the Serber model, have a narrow width compa
rable with the experimental data. The structure of Li-11 would then ha
ve nearly 50% of s-wave motion between the neutrons and the core. The
three-body system may also approximately fulfill the conditions for th
e appearance of Efimov states, and there may exist low-lying excited s
tates near the breakup threshold.