We present experimental results, acquired during capillary flow of very elastic polymer melts, showing a double extrudate at the exit of the die. The initial extrusion conditions give rise to an extrudate with very severe sharkskin instability, but when a certain critical shear stress is exceeded a second extrudate emerges from a scission of the first one. When the process is stabilized both branches become identical, with a sharkskin characterized by a double wavelength rather than the initial extrudate, but with the ridges out of phase. A tentative simple model, based on stick-slip hydrodynamic effect, is presented. (C) 2001 The Society of Rheology.