Let k be a commutative field. For any a,b∈ k, we denote by $J_{a,b}\left(k\right)$ the deformation of the 2-dimensional Weyl algebra over k associated with the Jordanian Hecke symmetry with parameters a and b. We prove that: (i) any $J_{a,b}\left(k\right)$ can be embedded in the usual Weyl algebra A₂(k), and (ii) $J_{a,b}\left(k\right)$ is isomorphic to A₂(k) if and only if a = b.