Greavs was reassigned to AHL Cleveland on Sunday.
Greaves stopped 31 of 32 shots in Saturday's 2-1 win over the Blues.
Greaves will defend the road net versus St. Louis on Saturday, per Jeff Svoboda of the Blue Jackets' official site.
Greaves was called up from AHL Cleveland on Friday.
Greaves will defend the home crease against the Canadiens on Monday, Jeff Svoboda of the Blue Jackets' official site reports.
Greaves was recalled by the Blue Jackets on an emergency basis Sunday.
Greaves was loaned to AHL Cleveland on Wednesday.
Greaves will patrol the road crease Tuesday against Tampa Bay, according to Jeff Svoboda of the Blue Jackets' official site.
Greaves stopped 23 shots in Saturday's 4-3 overtime loss to the Ducks.
Greaves is in the starter's crease at morning skate, Mark Scheig of The Hockey Writers reports, and is expected to defend the home crease versus Anaheim on Saturday.