diff --git a/mmseg/__init__.py b/mmseg/__init__.py
index 5fcb84e8c4..56982cf156 100644
--- a/mmseg/__init__.py
+++ b/mmseg/__init__.py
@@ -58,17 +58,23 @@ def digit_version(version_str: str, length: int = 4):
 mmcv_version = digit_version(mmcv.__version__)
 
 
-assert (mmcv_min_version <= mmcv_version < mmcv_max_version), \
+assert (mmcv_version >= mmcv_min_version), \
     f'MMCV=={mmcv.__version__} is used but incompatible. ' \
-    f'Please install mmcv>=2.0.0rc4.'
+    f'Please install mmcv>={MMCV_MIN}.'
+
+assert (mmcv_version <= mmcv_max_version), \
+    f'MMCV=={mmcv.__version__} is used but incompatible. ' \
+    f'Please install mmcv<{MMCV_MAX}.'
 
 mmengine_min_version = digit_version(MMENGINE_MIN)
 mmengine_max_version = digit_version(MMENGINE_MAX)
 mmengine_version = digit_version(mmengine.__version__)
 
-assert (mmengine_min_version <= mmengine_version < mmengine_max_version), \
+assert (mmengine_version >= mmengine_min_version), \
     f'MMEngine=={mmengine.__version__} is used but incompatible. ' \
-    f'Please install mmengine>={mmengine_min_version}, '\
-    f'<{mmengine_max_version}.'
+    f'Please install mmengine>={MMENGINE_MIN}.'
 
+assert (mmengine_version < mmengine_max_version), \
+    f'MMEngine=={mmengine.__version__} is used but incompatible. ' \
+    f'Please install mmengine<{MMENGINE_MAX}.'
 __all__ = ['__version__', 'version_info', 'digit_version']