We study transverse spin in a sub-wavelength metal-dielectric-metal (MDM)
sphere when the MDM sphere exhibits avoided crossing due to hybridization of
the surface plasmon with the Mie localized plasmon. We show that the change in
the absorptive and dipersive character near the crossing can have significant
effect on the transverse spin. An enhancement in the transverse spin is shown
to be possible associated with the transparency (suppression of extinction) of
the MDM sphere. The effect is attributed to the highly structured field
emerging as a consequence of competition of the electric and magnetic modes