Samuel O. Bennion teaches that Adam and Eve had immortal, resurrected bodies but if they had offspring before the Fall, their children would only have spiritual bodies, not bodies of flesh, blood, and bone.
Liahona: The Elders' Journal 6 no. 2 (June 27, 1908): 33
As Adam was an immortal being when placed here on earth and commanded to multiply, would not his offspring have been immortal but for the fall?
M. P. F., Logan, Utah
Yes. But they would have had spiritual bodies only, and not bodies of flesh, and blood and bone. When Adam and Eve were first placed in the garden of Eden they had resurrected bodies, in which there was no blood. A spiritual fluid or substance circulated in their veins instead of blood. Consequently, they had not power to beget children with tabernacles of flesh, such as human beings possess. The fall caused a change in their bodies, which while it rendered them mortal, at the same time, gave them power to create mortal bodies of flesh, blood and bone for their offspring. This is a very brief explanation of a very important subject.