diff --git a/gdbstub/gdbstub.c b/gdbstub/gdbstub.c
index 7d8fe47..a0755e6 100644
--- a/gdbstub/gdbstub.c
+++ b/gdbstub/gdbstub.c
@@ -383,27 +383,13 @@
     gdbserver_state.last_packet = g_byte_array_sized_new(MAX_PACKET_LENGTH + 4);
 
     /*
-     * In replay mode all events will come from the log and can't be
-     * suppressed otherwise we would break determinism. However as those
-     * events are tied to the number of executed instructions we won't see
-     * them occurring every time we single step.
+     * What single-step modes are supported is accelerator dependent.
+     * By default try to use no IRQs and no timers while single
+     * stepping so as to make single stepping like a typical ICE HW step.
      */
-    if (replay_mode != REPLAY_MODE_NONE) {
-        gdbserver_state.supported_sstep_flags = SSTEP_ENABLE;
-    } else if (kvm_enabled()) {
-        gdbserver_state.supported_sstep_flags = kvm_get_supported_sstep_flags();
-    } else {
-        gdbserver_state.supported_sstep_flags =
-            SSTEP_ENABLE | SSTEP_NOIRQ | SSTEP_NOTIMER;
-    }
-
-    /*
-     * By default use no IRQs and no timers while single stepping so as to
-     * make single stepping like an ICE HW step.
-     */
+    gdbserver_state.supported_sstep_flags = accel_supported_gdbstub_sstep_flags();
     gdbserver_state.sstep_flags = SSTEP_ENABLE | SSTEP_NOIRQ | SSTEP_NOTIMER;
     gdbserver_state.sstep_flags &= gdbserver_state.supported_sstep_flags;
-
 }
 
 #ifndef CONFIG_USER_ONLY