diff --git a/fuzzing/fuzz.h b/fuzzing/fuzz.h
index 4a879984c..5f999be0e 100644
--- a/fuzzing/fuzz.h
+++ b/fuzzing/fuzz.h
@@ -17,6 +17,12 @@ static void
 fuzz_set_logging_func (void)
 {
 #ifdef FUZZING_BUILD_MODE_UNSAFE_FOR_PRODUCTION
-  g_log_set_writer_func (empty_logging_func, NULL, NULL);
+  static gboolean writer_set = FALSE;
+
+  if (!writer_set)
+    {
+      g_log_set_writer_func (empty_logging_func, NULL, NULL);
+      writer_set = TRUE;
+    }
 #endif
 }
diff --git a/fuzzing/meson.build b/fuzzing/meson.build
index 259c6d91d..d69381c63 100644
--- a/fuzzing/meson.build
+++ b/fuzzing/meson.build
@@ -38,4 +38,14 @@ foreach target_name : fuzz_targets
     c_args : extra_c_args,
     dependencies : deps,
   )
+
+  # If the FuzzingEngine isn’t available, build some unit tests to check that
+  # the fuzzing files do basically work. This doesn’t do any actual fuzzing though.
+  # Pass in the README as an arbitrary fuzzing input, just so we have something.
+  if not fuzzing_engine.found()
+    test(target_name, exe,
+      args : files('README.md'),
+      suite : 'fuzzing',
+    )
+  endif
 endforeach