  The cross section for p-$^{11}$Li inelastic scattering at 68 MeV/u is
evaluated using the Multiple Scattering expansion of the total Transition
amplitude (MST) formalism, and compared with the breakup in the shakeoff
approximation. Three different potential models for $^{11}$Li are used to
calculate the $^{11}$Li(p,p$'$) continuum excitations, and all show peaks below
3 MeV of excitation energy, both in resonant and some non-resonant channels. In
the most realistic model of $^{11}$Li, there is a strong dipole contribution
associated with attractive but not a fully-fledged resonant phase shifts, and
some evidence for a J$_{nn}^\pi = 0_2^+$ resonant contribution. These together
form a pronounced peak at around 1--2 MeV excitation, in agreement with
experiment, and this supports the use of the MST as an adequate formalism to
study excited modes of two-neutron nuclear halos.
