diff --git a/command/state_mv.go b/command/state_mv.go
index 5b99dd2ab..71e934af4 100644
--- a/command/state_mv.go
+++ b/command/state_mv.go
@@ -203,8 +203,7 @@ Options:
   -backup=PATH        Path where Terraform should write the backup for the original
                       state. This can't be disabled. If not set, Terraform
                       will write it to the same path as the statefile with
-                      a backup extension. This backup will be made in addition
-                      to the timestamped backup.
+                      a backup extension.
 
   -backup-out=PATH    Path where Terraform should write the backup for the destination
                       state. This can't be disabled. If not set, Terraform
diff --git a/command/state_rm.go b/command/state_rm.go
index b2491c4e8..44c8d8a05 100644
--- a/command/state_rm.go
+++ b/command/state_rm.go
@@ -78,8 +78,7 @@ Options:
   -backup=PATH        Path where Terraform should write the backup
                       state. This can't be disabled. If not set, Terraform
                       will write it to the same path as the statefile with
-                      a backup extension. This backup will be made in addition
-                      to the timestamped backup.
+                      a backup extension.
 
   -state=statefile    Path to a Terraform state file to use to look
                       up Terraform-managed resources. By default it will