Sunderland currently have eight first-team players on the treatment table.
Sunderland are bottom of the table and yet to keep a clean sheet this season.
Pickford has been thrust into the action this season following an elbow injury to Vito Mannone.
John O'Shea has made just four appearances for Sunderland so far this season.
Moyes is yet to secure a league win as Sunderland manager since taking charge this summer.
O'Shea featured in Sunderland's 1-1 draw against West Brom at the weekend.
The youngster has started to establish himself as a key player for Sunderland.
The Black Cats currently find themselves in the Premier League bottom three.
The Black Cats have conceded nine goals in five games so far.
John O'Shea's injury highlights further the shortage of players available for Sunderland right now.