  We consider the Oldroyd-B model for a dilute corotational polymer fluid with
center-of-mass diffusion that is interacting with a viscoelastic shell. We show
that any family of strong solutions of the system described above that is
parametrized by the center-of-mass diffusion coefficient converges, as the
coefficient goes to zero, to a weak solution of a corotational polymer
fluid-structure interaction system without center-of-mass diffusion but with
essentially bounded polymer number density and extra stress tensor.
