diff --git a/pyomo/repn/plugins/nl_writer.py b/pyomo/repn/plugins/nl_writer.py
index 8dfaf0d7f42..bdf5eb4ebb5 100644
--- a/pyomo/repn/plugins/nl_writer.py
+++ b/pyomo/repn/plugins/nl_writer.py
@@ -470,12 +470,22 @@ def compile(self, column_order, row_order, obj_order, model_id):
                 "not exported as part of the NL file.  "
                 "Skipping."
             )
+            if logger.isEnabledFor(logging.DEBUG):
+                logger.debug(
+                    "Skipped component keys:\n\t"
+                    + "\n\t".join(sorted(map(str, missing_component_data)))
+                )
         if unknown_data:
             logger.warning(
                 f"model contains export suffix '{self.name}' that "
                 f"contains {len(unknown_data)} keys that are not "
                 "Var, Constraint, Objective, or the model.  Skipping."
             )
+            if logger.isEnabledFor(logging.DEBUG):
+                logger.debug(
+                    "Skipped component keys:\n\t"
+                    + "\n\t".join(sorted(map(str, unknown_data)))
+                )
 
 
 class CachingNumericSuffixFinder(SuffixFinder):
diff --git a/pyomo/repn/tests/ampl/test_nlv2.py b/pyomo/repn/tests/ampl/test_nlv2.py
index cc92371cff0..7e47de24f29 100644
--- a/pyomo/repn/tests/ampl/test_nlv2.py
+++ b/pyomo/repn/tests/ampl/test_nlv2.py
@@ -953,6 +953,14 @@ def d(m, i):
             "keys that are not exported as part of the NL file.  Skipping.\n",
             LOG.getvalue(),
         )
+        with LoggingIntercept(level=logging.DEBUG) as LOG:
+            nl_writer.NLWriter().write(m, OUT)
+        self.assertEqual(
+            "model contains export suffix 'junk' that contains 1 component "
+            "keys that are not exported as part of the NL file.  Skipping.\n"
+            "Skipped component keys:\n\ty\n",
+            LOG.getvalue(),
+        )
 
         m.junk[m.z] = 1
         with LoggingIntercept() as LOG:
@@ -962,6 +970,14 @@ def d(m, i):
             "keys that are not exported as part of the NL file.  Skipping.\n",
             LOG.getvalue(),
         )
+        with LoggingIntercept(level=logging.DEBUG) as LOG:
+            nl_writer.NLWriter().write(m, OUT)
+        self.assertEqual(
+            "model contains export suffix 'junk' that contains 3 component "
+            "keys that are not exported as part of the NL file.  Skipping.\n"
+            "Skipped component keys:\n\ty\n\tz[1]\n\tz[3]\n",
+            LOG.getvalue(),
+        )
 
         m.junk[m.c] = 2
         with LoggingIntercept() as LOG:
@@ -992,6 +1008,17 @@ def d(m, i):
             "Skipping.\n",
             LOG.getvalue(),
         )
+        with LoggingIntercept(level=logging.DEBUG) as LOG:
+            nl_writer.NLWriter().write(m, OUT)
+        self.assertEqual(
+            "model contains export suffix 'junk' that contains 6 component "
+            "keys that are not exported as part of the NL file.  Skipping.\n"
+            "Skipped component keys:\n\tc\n\td[1]\n\td[3]\n\ty\n\tz[1]\n\tz[3]\n"
+            "model contains export suffix 'junk' that contains 1 keys that "
+            "are not Var, Constraint, Objective, or the model.  Skipping.\n"
+            "Skipped component keys:\n\t5\n",
+            LOG.getvalue(),
+        )
 
     def test_log_timing(self):
         # This tests an error possibly reported by #2810