diff --git a/rope/contrib/autoimport/models.py b/rope/contrib/autoimport/models.py
index f56990cf6..817a51ae7 100644
--- a/rope/contrib/autoimport/models.py
+++ b/rope/contrib/autoimport/models.py
@@ -111,6 +111,7 @@ def create_table(cls, connection):
 
     search_by_name_like = objects.where("name LIKE (?)")
 
+    search_by_name = objects.where("name IS (?)")
     delete_by_module_name = objects.where("module = ?").delete_from()
 
 
diff --git a/rope/contrib/autoimport/sqlite.py b/rope/contrib/autoimport/sqlite.py
index 507352782..eb7c27ded 100644
--- a/rope/contrib/autoimport/sqlite.py
+++ b/rope/contrib/autoimport/sqlite.py
@@ -297,7 +297,7 @@ def _search_module(
     def get_modules(self, name) -> List[str]:
         """Get the list of modules that have global `name`."""
         results = self._execute(
-            models.Name.search_by_name_like.select("module", "source"), (name,)
+            models.Name.search_by_name.select("module", "source"), (name,)
         ).fetchall()
         return sort_and_deduplicate(results)