diff --git a/src/prefect/client/orchestration/_automations/client.py b/src/prefect/client/orchestration/_automations/client.py
index ddd61d422586..b57801d21034 100644
--- a/src/prefect/client/orchestration/_automations/client.py
+++ b/src/prefect/client/orchestration/_automations/client.py
@@ -45,6 +45,8 @@ def read_automations(self) -> list["Automation"]:
         return Automation.model_validate_list(response.json())
 
     def find_automation(self, id_or_name: "str | UUID") -> "Automation | None":
+        from uuid import UUID
+
         if isinstance(id_or_name, str):
             name = id_or_name
             try:
@@ -202,6 +204,8 @@ async def read_automations(self) -> list["Automation"]:
         return Automation.model_validate_list(response.json())
 
     async def find_automation(self, id_or_name: "str | UUID") -> "Automation | None":
+        from uuid import UUID
+
         if isinstance(id_or_name, str):
             name = id_or_name
             try:
diff --git a/tests/test_automations.py b/tests/test_automations.py
index 79d225d676d0..3770f5b619d4 100644
--- a/tests/test_automations.py
+++ b/tests/test_automations.py
@@ -6,6 +6,7 @@
 from prefect.automations import Automation, DoNothing
 from prefect.events import ResourceSpecification
 from prefect.events.schemas.automations import EventTrigger, Posture
+from prefect.exceptions import ObjectNotFound
 from prefect.settings import PREFECT_API_SERVICES_TRIGGERS_ENABLED, temporary_settings
 
 
@@ -206,3 +207,33 @@ def test_disabled_automation_can_be_enabled_sync(automation: Automation):
 
     updated_automation = Automation.read(id=automation.id)
     assert updated_automation.enabled is True
+
+
+async def test_find_automation(automation: Automation):
+    from prefect.client.orchestration import get_client
+
+    client = get_client()
+
+    # Test finding by UUID
+    found = await client.find_automation(automation.id)
+    assert found == automation
+
+    # Test finding by UUID string
+    found = await client.find_automation(str(automation.id))
+    assert found == automation
+
+    # Test finding by exact name
+    found = await client.find_automation(automation.name)
+    assert found == automation
+
+    # Test finding by case-insensitive name
+    found = await client.find_automation(automation.name.upper())
+    assert found == automation
+
+    # Test finding nonexistent UUID raises ObjectNotFound
+    with pytest.raises(ObjectNotFound):
+        await client.find_automation(UUID("6d222a09-3c68-42d4-b019-bd331a3abb88"))
+
+    # Test finding nonexistent name returns None
+    found = await client.find_automation("nonexistent_name")
+    assert found is None