diff --git a/spot/twaalgos/toparity.cc b/spot/twaalgos/toparity.cc
index 32f5c7570..09fa6a5c1 100644
--- a/spot/twaalgos/toparity.cc
+++ b/spot/twaalgos/toparity.cc
@@ -1606,9 +1606,10 @@ run()
             max_states_sub_car =
                 10000 + nb_states_deg - 1;
         }
-        nb_states_sub =
-            build_scc(sub_automaton, scc, state2car_sub, car2num_sub,
-                        algo_sub, max_states_sub_car);
+        if (!options.force_degen || !has_degeneralized)
+            nb_states_sub =
+                build_scc(sub_automaton, scc, state2car_sub, car2num_sub,
+                          algo_sub, max_states_sub_car);
         if (nb_states_deg < nb_states_sub)
         {
             state2car.insert(state2car_deg.begin(), state2car_deg.end());
diff --git a/spot/twaalgos/toparity.hh b/spot/twaalgos/toparity.hh
index fb4984342..a8e631baa 100644
--- a/spot/twaalgos/toparity.hh
+++ b/spot/twaalgos/toparity.hh
@@ -45,9 +45,12 @@ namespace spot
     /// degeneralization to remove occurrences of acceptance
     /// subformulas such as `Fin(x) | Fin(y)` or `Inf(x) & Inf(y)`.
     bool partial_degen = true;
+    /// If \c force_degen is false, to_parity will checks if we can
+    /// get a better result if we don't apply partial_degeneralize.
+    bool force_degen = true;
     /// If \c scc_acc_clean is true, to_parity() will ignore colors
     /// no occoring in an SCC while processing this SCC.
-    bool acc_clean      = true;
+    bool acc_clean = true;
     /// If \a parity_equiv is true, to_parity() will check if there
     /// exists a permutations of colors such that the acceptance
     /// condition is a parity condition.