diff --git a/idaes/core/util/model_diagnostics.py b/idaes/core/util/model_diagnostics.py
index e143387749..23e9f7ab36 100644
--- a/idaes/core/util/model_diagnostics.py
+++ b/idaes/core/util/model_diagnostics.py
@@ -2172,7 +2172,7 @@ def display_underdetermined_variables_and_constraints(
                     "singular values."
                 )
 
-            stream.write(f"{TAB}Smallest Singular Value {e}:\n\n")
+            stream.write(f"{TAB}Smallest Singular Value {e} ({self.s[e-1]:.3e}):\n\n")
             stream.write(f"{2 * TAB}Variables:\n\n")
             for v in np.where(abs(self.v[:, e - 1]) > tol)[0]:
                 stream.write(f"{3 * TAB}{self._var_list[v].name}\n")
@@ -2745,10 +2745,13 @@ def _solve_ids_milp(self, cons: Constraint, tee: bool = False):
             # We found an irreducible degenerate set
             return self._get_ids()
         else:
-            raise ValueError(
+            # We did not find an irreducible degenerate set
+            _log.info(
                 f"Solver did not return an optimal termination condition for "
-                f"IDS MILP with constraint {cons.name}."
+                f"constraint {cons.name}. This probably indicates the constraint"
+                " is not a major component of an IDS."
             )
+            return None
 
     def find_irreducible_degenerate_sets(self, tee=False):
         """