  It is by now well known that the wave functions of rational solutions to the
KP hierarchy which can be achieved as limits of the pure $n$-soliton solutions
satisfy an eigenvalue equation for ordinary differential operators in the
spectral parameter. This property is known as ``bispectrality'' and has proved
to be both interesting and useful. In a recent preprint (math-ph/9806001)
evidence was presented to support the conjecture that all KP solitons
(including their rational degenerations) are bispectral if one also allows
translation operators in the spectral parameter. In this note, the conjecture
is verified, and thus it is shown that all KP solitons have a form of
bispectrality. The potential significance of this result to the duality of the
classical Ruijsenaars and Sutherland particle systems is briefly discussed.
