  We show that the global assumptions on the H-flux in the definition of
T-duality for principal torus bundles by Bunke, Rumpf, and Schick are not
required. That is, these global conditions are implied by the Poincar\'e bundle
condition. This is proved using a new and equivalent "Thom class" formulation
of T-duality for principal torus bundles. We then generalise the local
formulation of T-duality by Bunke, Schick, and Spitzweck to the torus case.
