  In this article, new wormhole solutions in the framework of General
Relativity are presented. Taking advantage of gravitational decoupling by means
of minimal geometric deformation approach and, the so-called noncommutative
geometry Gaussian and Lorentzian density profiles, the seminal Morris-Thorne
space-time is minimally deformed providing new asymptotically wormhole
solutions. Constraining the signature of some parameters, the dimensionless
constant $\alpha$ is bounded using the flare-out and energy conditions. In both
cases, this results in an energy-momentum tensor that violates energy
conditions, thus the space-time is threading by exotic matter. However, it is
possible to obtain a positive defined density at the wormhole throat and its
neighborhood. To further support the study a thoroughly graphical analysis has
been performed.
