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Both Judd and Moser were driving separate motorcycles in South Dakota on Saturday (August 18) when he accidentally ran his vehicle into a car.
The 55-year old was then airlifted to the Rapid City Regional Hospital with serious injuries.
TMZ reports that Judd has now postponed a series of scheduled concerts in Canada next week in order to stay with Moser as he recovers in hospital.
In a statement, Judd said: "The outpouring of prayer and support from friends, family and fans has been a blessing to both Cactus and I. Cactus is a champion. I love him deeply and I will not leave his side."
Judd married Moser in June 2012 after three years of dating.
