diff --git a/app/models/job.py b/app/models/job.py
index 7561ef777..3dfacbb16 100644
--- a/app/models/job.py
+++ b/app/models/job.py
@@ -107,7 +107,7 @@ class Job(JSONModel):
     @property
     def still_processing(self):
         return (
-            self.percentage_complete < 100 and self.status != 'finished'
+            self.status != 'finished' or self.percentage_complete < 100
         )
 
     @cached_property
diff --git a/tests/app/models/test_job.py b/tests/app/models/test_job.py
new file mode 100644
index 000000000..e43d8c08f
--- /dev/null
+++ b/tests/app/models/test_job.py
@@ -0,0 +1,31 @@
+import pytest
+
+from app.models.job import Job
+from tests import job_json, user_json
+from tests.conftest import SERVICE_ONE_ID
+
+
+@pytest.mark.parametrize(
+    'job_status, num_notifications_created, expected_still_processing',
+    [
+        ('scheduled', 0, True),
+        ('cancelled', 10, True),
+        ('finished', 5, True),
+        ('finished', 10, False),
+    ]
+)
+def test_still_processing(
+    notify_admin,
+    job_status,
+    num_notifications_created,
+    expected_still_processing
+):
+    json = job_json(
+        service_id=SERVICE_ONE_ID,
+        created_by=user_json(),
+        notification_count=10,
+        notifications_requested=num_notifications_created,
+        job_status=job_status
+    )
+    job = Job(json)
+    assert job.still_processing == expected_still_processing