An organic polymer is transferred from one solvent to another. In a first step, a solution of the polymer in a first solvent is divided into droplets, dispersed into a liquid phase such as water bath, and the first solvent is removed from the droplets to produce a slurry in the liquid phase. Then, the second solvent is contacted with the slurry to dissolve the organic polymer and produce a second solution. The second solution is removed from the liquid phase. The process is especially suitable for transferring a butadiene polymer from a hydrocarbon solvent into a halogenated solvent for bromination.