  We demonstrate coupling between the atomic spin and orbital-angular-momentum
(OAM) of the atom's center-of-mass motion in a Bose-Einstein condensate (BEC).
The coupling is induced by Raman-dressing lasers with a Laguerre-Gaussian beam,
and creates coreless vortices in a $F=1$ $^{87}$Rb spinor BEC. We observe
correlations between spin and OAM in the dressed state and characterize the
spin texture; the result is in good agreement with the theory. In the presence
of the Raman field our dressed state is stable for 0.1~s or longer, and it
decays due to collision-induced relaxation. As we turn off the Raman beams, the
vortex cores in the bare spin $|m_F=1\rangle$ and $|-1\rangle$ split. These
spin-OAM coupled systems with the Raman-dressing approach have great potential
for exploring new topological textures and quantum states.
