Number one Jamie Jones was knocked unconscious after a collision with team-mate Ben Chorley in the first minute of last week's defeat by Colchester and has been ordered to rest for a couple of weeks.
Boss Geraint Williams has drafted in young Tottenham keeper Butcher on a month's loan as cover, and he will vie with Morris for the gloves.
Better news is the return of skipper Stephen Purches and midfielder Adam Chambers from injury.
Right-back Purches is set to wear a face mask to protect his fractured cheekbone after testing it out in the reserves this week, and Chambers also played for the second string after a calf injury.
Midfield duo Jason Demetriou and JJ Melligan are also available after suspensions.