  The dependence of the T-odd correlation on the effective Lagrangian
parameters in the $K^+ \to \pi l \nu \gamma, l=e, \mu$ decays is analyzed. It
is shown that the introduced observable is perspective in a search for new
physics in the vector and pseudovector sector of the Lagrangian. As for scalar
and pseudoscalar sectors, the T-odd correlation studies will not allow one to
improve current restrictions on parameters of models beyond SM.
