A process for making polyarylethers provides a reaction mixture that includes a dipolar aprotic solvent for polyarylether and polyarylether forming reactants, and reacts the polyarylether-forming reactants, with removing of water with nitrogen in the absence of azeotrope forming cosolvent and optionally replacing removed amounts with dipolar aprotic solvent. The process can further include directly wet spinning the reactor solution without recovery of the polymer from the dipolar aprotic solvent through a spinneret to form hollow fibers or flat sheets suitable for membranes.