Exact nonlinear coherent vortex solutions, in the form of dipolar like configuration, are derived in a two-dimensional (2D) electrostatic interchange turbulence model. The vortex structure incorporates effects due to nonlinear diamagnetic interactions that are associated with the finite Larmour radius (FLR) of the magnetized ions. Numerical simulations indicate that the propagating dipole vortex is a long-lived, spatially well-localized coherent structure of the interchange mode that persists for several eddy turn-over times. Collisional as well as weak diamagnetic interactions have stabilizing effects on these structures.