diff --git a/singer_sdk/target_base.py b/singer_sdk/target_base.py
index d560a555e..8ecdfa851 100644
--- a/singer_sdk/target_base.py
+++ b/singer_sdk/target_base.py
@@ -451,8 +451,10 @@ def _process_activate_version_message(self, message_dict: dict) -> None:
             message_dict: TODO
         """
         stream_name = message_dict["stream"]
-        sink = self.get_sink(stream_name)
-        sink.activate_version(message_dict["version"])
+
+        for stream_map in self.mapper.stream_maps[stream_name]:
+            sink = self.get_sink(stream_map.stream_alias)
+            sink.activate_version(message_dict["version"])
 
     def _process_batch_message(self, message_dict: dict) -> None:
         """Handle the optional BATCH message extension.