diff --git a/src/Magnum/Trade/AbstractImporter.cpp b/src/Magnum/Trade/AbstractImporter.cpp
index 2146519d2..cda75437e 100644
--- a/src/Magnum/Trade/AbstractImporter.cpp
+++ b/src/Magnum/Trade/AbstractImporter.cpp
@@ -547,6 +547,17 @@ void AbstractImporter::populateCachedScenes() {
             newObjectOffset = Math::max(newObjectOffset, _cachedScenes->scenes[i]->objectCount());
         }
     }
+
+    /* If there are scenes but no objects (because for example all scenes
+       failed to import), use the dimension-less object count at least, and
+       assume the scene was 3D. Otherwise this may cause unexpected assertions
+       in code that expected proper object count to be reported even if a scene
+       contains errors.
+
+       Not ideal, especially regarding the 3D assumption, but better than
+       nothing. */
+    if(!_cachedScenes->scenes.empty() && !_cachedScenes->object2DCount && !_cachedScenes->object3DCount)
+        _cachedScenes->object3DCount = objectCount();
 }
 
 UnsignedInt AbstractImporter::object2DCount() const {
diff --git a/src/Magnum/Trade/Test/AbstractImporterTest.cpp b/src/Magnum/Trade/Test/AbstractImporterTest.cpp
index d7d44c859..627ba15a9 100644
--- a/src/Magnum/Trade/Test/AbstractImporterTest.cpp
+++ b/src/Magnum/Trade/Test/AbstractImporterTest.cpp
@@ -126,6 +126,8 @@ struct AbstractImporterTest: TestSuite::Tester {
     void sceneDeprecatedFallbackTransformless3D();
     void sceneDeprecatedFallbackMultiFunctionObjects2D();
     void sceneDeprecatedFallbackMultiFunctionObjects3D();
+    void sceneDeprecatedFallbackObjectCountNoScenes();
+    void sceneDeprecatedFallbackObjectCountAllSceneImportFailed();
     #endif
     void sceneNameNotImplemented();
     void objectNameNotImplemented();
@@ -410,6 +412,8 @@ AbstractImporterTest::AbstractImporterTest() {
               &AbstractImporterTest::sceneDeprecatedFallbackTransformless3D,
               &AbstractImporterTest::sceneDeprecatedFallbackMultiFunctionObjects2D,
               &AbstractImporterTest::sceneDeprecatedFallbackMultiFunctionObjects3D,
+              &AbstractImporterTest::sceneDeprecatedFallbackObjectCountNoScenes,
+              &AbstractImporterTest::sceneDeprecatedFallbackObjectCountAllSceneImportFailed,
               #endif
               &AbstractImporterTest::sceneForNameOutOfRange,
               &AbstractImporterTest::objectForNameOutOfRange,
@@ -3219,6 +3223,45 @@ void AbstractImporterTest::sceneDeprecatedFallbackMultiFunctionObjects3D() {
     }
     CORRADE_IGNORE_DEPRECATED_POP
 }
+
+void AbstractImporterTest::sceneDeprecatedFallbackObjectCountNoScenes() {
+    struct: AbstractImporter {
+        ImporterFeatures doFeatures() const override { return {}; }
+        bool doIsOpened() const override { return true; }
+        void doClose() override {}
+
+        UnsignedInt doSceneCount() const override { return 0; }
+        UnsignedLong doObjectCount() const override { return 27; }
+    } importer;
+
+    /* There's no scenes to get data or hierarchy from, so there are no
+       2D/3D objects reported even though objectCount() says 27 */
+    CORRADE_IGNORE_DEPRECATED_PUSH
+    CORRADE_COMPARE(importer.object2DCount(), 0);
+    CORRADE_COMPARE(importer.object3DCount(), 0);
+    CORRADE_IGNORE_DEPRECATED_POP
+}
+
+void AbstractImporterTest::sceneDeprecatedFallbackObjectCountAllSceneImportFailed() {
+    struct: AbstractImporter {
+        ImporterFeatures doFeatures() const override { return {}; }
+        bool doIsOpened() const override { return true; }
+        void doClose() override {}
+
+        UnsignedInt doSceneCount() const override { return 1; }
+        UnsignedLong doObjectCount() const override { return 27; }
+        Containers::Optional<SceneData> doScene(UnsignedInt) override {
+            return {};
+        }
+    } importer;
+
+    /* There's a scene but it failed to import, assume it was 3D and proxy the
+       objectCount() */
+    CORRADE_IGNORE_DEPRECATED_PUSH
+    CORRADE_COMPARE(importer.object2DCount(), 0);
+    CORRADE_COMPARE(importer.object3DCount(), 27);
+    CORRADE_IGNORE_DEPRECATED_POP
+}
 #endif
 
 void AbstractImporterTest::sceneNameNotImplemented() {