A vortex de-sanding system can include a packer having an annular seal element, a flow passage extending longitudinally through the packer, and at least one opening formed through a wall of the packer, the opening permitting fluid communication between the flow passage and an exterior of the packer, and a vortex de-sanding tool connected to the packer. The vortex de-sanding tool can include an inner production flow tube, an outer sleeve surrounding the flow tube and having at least one port formed through a wall of the outer sleeve, an abrasion resistant housing surrounding the flow tube, and a helical vane positioned in an annulus formed between the flow tube and the housing. The flow passage extends longitudinally through the flow tube, and the housing has a surface abrasion resistance greater than a surface abrasion resistance of the inner production flow tube.