Good advice from Photon46.
If the original packaging is rigid styrofoam it's useful for only one bump. It absorbs the impact but is crushed in the process and provides no protection in case of a second impact. That kind of packaging works well only if the box is strapped on a pallet with other boxes just like it. It isn't intended for individual shipping.
Something that will retain its shape like bubble wrap or resilient foam lining a second box won't guarantee safe shipping but it's your best shot. Strapping tape going around the box in all three dimensions will help keep the outer box mostly together if it gets mangled.
If the original packaging is rigid styrofoam it's useful for only one bump. It absorbs the impact but is crushed in the process and provides no protection in case of a second impact. That kind of packaging works well only if the box is strapped on a pallet with other boxes just like it. It isn't intended for individual shipping.
Something that will retain its shape like bubble wrap or resilient foam lining a second box won't guarantee safe shipping but it's your best shot. Strapping tape going around the box in all three dimensions will help keep the outer box mostly together if it gets mangled.