  We present results for the coupling of the light vector mesons to the tensor
current, relative to the standard vector meson decay constants. From an
O(a)-improved lattice study, performed at three values of the lattice spacing
in the quenched approximation, our final values (in the continuum limit), in
the MS-scheme at 2 GeV, are: (f^T/f)_rho =0.72(2)(+2/-0), (f^T/f)_K* =0.74(2),
(f^T/f)_phi =0.76(1).
