diff --git a/tutorials/roofit/roostats/rs401d_FeldmanCousins.py b/tutorials/roofit/roostats/rs401d_FeldmanCousins.py
index 55a21e81a9b6f..9db04dacfebe5 100644
--- a/tutorials/roofit/roostats/rs401d_FeldmanCousins.py
+++ b/tutorials/roofit/roostats/rs401d_FeldmanCousins.py
@@ -164,6 +164,12 @@ def rs401d_FeldmanCousins(doFeldmanCousins=False, doMCMC=True):
     dataCanvas.Draw()
     dataCanvas.SaveAs("3.png")
 
+    # The profile likelihood and the NLL are not needed anymore. Delete them
+    # already here, so that the NLL evaluation machinery is not torn down at
+    # interpreter shutdown, where the order of cleanups is less controlled.
+    del pll
+    del nll
+
     # --------------------------------------------------------------
     # show use of Feldman-Cousins utility in RooStats
     # set the distribution creator, which encodes the test statistic