  Optical skyrmions formed in terms of polarization are topological
quasi-particles and have garnered much interest in the optical community owing
to their unique inhomogeneous polarization structure and simplicity in their
experimental realization. These structures belong to the Poincar\'e beams
satisfying the stable topology. We theoretically investigated the
non-diffracting and self-healing Poincar\'e beams based on the superposition of
two orthogonal Bessel modes by mode matching technique. These Poincar\'e beams
are topologically protected, and we suggest them as optical skyrmions. These
optical skyrmions are quasi-skyrmions and their range of propagation depends on
the range of superposed Bessel modes. The polarization structure of these
optical skyrmions has no change upon the propagation. A necessary experimental
configuration is suggested to realize variable order skyrmions in Bessel modes
experimentally. This work can provide a new direction for the generation of
skyrmions with completely new textures and features with respect to existing
skyrmions originating from Laguerre-Gaussian modes.
