The bodies were [and will be] completely spiritual

In truth, before [Adam and Chava] transgressed the command of the Holy One, their bodies were also completely spiritual, like our physical bodies shall be after complete refinement...when comprehension of G-dliness will give life to the body like physical eating and drinking does [at present]. This is what Adam's body was before the sin...that his heel was brighter than the sun.

Ohr Hatorah, Bereishis vol. VII (page 2326 (1163a))

Garment of the Soul

The body of the person, although it is only a garment for the soul, [nonetheless] it is unified with the soul, which is not the case with the garments which are separate from the person (also separate from the body of the person)...The intellect and emotional attributes are the "body" of the soul and thought, speech and action are the "garments".

Lubavitcher Rebbe, V'Nacha Alav 5714