The Nebraska Medical Center on Sunday tweeted "Patient to arrive tomorrow," without specifying an exact time.
Earlier the hospital had announced on Twitter that it had "received a call from the US State Department letting us know that we will be receiving a second Ebola patient. Possibly on Monday morning. Our 40+ member team with the Biocontainment Unit is ready."
The hospital has already treated Rick Sacra, a doctor who overcame the virus and was given the experimental drug TKM-Ebola.
Mukpo, 33, is the fourth American to contract Ebola in Liberia and had worked on humanitarian projects in Liberia for several years.
The Nebraska hospital is among just a handful able to handle Ebola patients at this time.