The basket was torn on my ski pole so created a new one.  

My ski pole had a smooth 11.5 mm diameter shaft where the sleeve slid on the pole.  So without mods yours would need to be similar to use this.  That said, you can scale this during slicing to get a larger or smaller diameter to fit a variety of poles.  The basket would need to be scaled with it.  Print with high infil for strength.  I used a firm flex type TPU, but guessing Nylon would be best for durability.

Secure the sleeve to the pole with epoxy.  The basket should slip over the ridge and stay secure on the sleeve.  Multiple basket sizes available