diff --git a/process_queue b/process_queue
index 3510ae2..c1973e8 100644
--- a/process_queue
+++ b/process_queue
@@ -2,6 +2,7 @@
 
 import logging
 import logging.config
+import math
 import os
 import socket
 import statistics
@@ -53,6 +54,15 @@ class DiskFullPredictor:
                 log.info("d = %s, current_used_bytes = %s, current_usable_bytes = %s", m, current_used_bytes, current_usable_bytes)
                 tuf = now - lts.data[i][0]
                 break
+        else:
+            # XXX - this is probably a range, so maybe we should use some kind
+            # of average. It might also be zero, so maybe we have to search for
+            # the first non-zero value? For now keep it simple.
+            first_used_bytes = lts.data[0][1]
+            historic_growth = current_used_bytes / first_used_bytes
+            future_growth = current_usable_bytes  / current_used_bytes
+            tuf = math.log(future_growth) / math.log(historic_growth) * (now - lts.data[0][0])
+            tuf = max(tuf, now - lts.data[0][0])
         desc = {**lts.description,
              "measure": "time_until_disk_full",
              "node": node,