diff --git a/python_modules/dagster/dagster/_core/storage/event_log/sqlite/consolidated_sqlite_event_log.py b/python_modules/dagster/dagster/_core/storage/event_log/sqlite/consolidated_sqlite_event_log.py
index a7f33aca4e2b8..24fe196036003 100644
--- a/python_modules/dagster/dagster/_core/storage/event_log/sqlite/consolidated_sqlite_event_log.py
+++ b/python_modules/dagster/dagster/_core/storage/event_log/sqlite/consolidated_sqlite_event_log.py
@@ -2,6 +2,7 @@
 import os
 from collections import defaultdict
 from contextlib import contextmanager
+from functools import cached_property
 from typing import Any, Mapping, Optional
 
 import sqlalchemy as db
@@ -144,9 +145,9 @@ def watch(self, run_id, cursor, callback):
 
         self._watchers[run_id][callback] = cursor
 
-    @property
+    @cached_property
     def supports_global_concurrency_limits(self) -> bool:
-        return False
+        return self.has_table("concurrency_limits")
 
     def on_modified(self):
         keys = [
diff --git a/python_modules/dagster/dagster/_core/storage/event_log/sqlite/sqlite_event_log.py b/python_modules/dagster/dagster/_core/storage/event_log/sqlite/sqlite_event_log.py
index e22eb71db3e0f..14559adc9b396 100644
--- a/python_modules/dagster/dagster/_core/storage/event_log/sqlite/sqlite_event_log.py
+++ b/python_modules/dagster/dagster/_core/storage/event_log/sqlite/sqlite_event_log.py
@@ -8,6 +8,7 @@
 import time
 from collections import defaultdict
 from contextlib import contextmanager
+from functools import cached_property
 from typing import TYPE_CHECKING, Any, ContextManager, Iterator, Optional, Sequence, Union
 
 import sqlalchemy as db
@@ -436,14 +437,6 @@ def fetch_run_status_changes(
     def supports_event_consumer_queries(self) -> bool:
         return False
 
-    def delete_events(self, run_id: str) -> None:
-        with self.run_connection(run_id) as conn:
-            self.delete_events_for_run(conn, run_id)
-
-        # delete the mirrored event in the cross-run index database
-        with self.index_connection() as conn:
-            self.delete_events_for_run(conn, run_id)
-
     def wipe(self) -> None:
         # should delete all the run-sharded db files and drop the contents of the index
         for filename in (
@@ -508,9 +501,9 @@ def alembic_version(self) -> AlembicVersion:
     def is_run_sharded(self) -> bool:
         return True
 
-    @property
+    @cached_property
     def supports_global_concurrency_limits(self) -> bool:
-        return False
+        return self.has_table("concurrency_limits")
 
 
 class SqliteEventLogStorageWatchdog(PatternMatchingEventHandler):
diff --git a/python_modules/dagster/dagster_tests/cli_tests/command_tests/test_concurrency_command.py b/python_modules/dagster/dagster_tests/cli_tests/command_tests/test_concurrency_command.py
index 06a03b4236a76..47e45733afaa0 100644
--- a/python_modules/dagster/dagster_tests/cli_tests/command_tests/test_concurrency_command.py
+++ b/python_modules/dagster/dagster_tests/cli_tests/command_tests/test_concurrency_command.py
@@ -23,14 +23,6 @@ def mock_instance_runner():
             yield instance, runner
 
 
-@pytest.fixture(name="unsupported_instance_runner")
-def mock_unsupported_instance_runner():
-    with tempfile.TemporaryDirectory() as dagster_home_temp:
-        with instance_for_test(temp_dir=dagster_home_temp) as instance:
-            runner = CliRunner(env={"DAGSTER_HOME": dagster_home_temp})
-            yield instance, runner
-
-
 def test_get_concurrency(instance_runner):
     instance, runner = instance_runner
     result = runner.invoke(get_concurrency)
@@ -61,14 +53,3 @@ def test_set_concurrency(instance_runner):
     result = runner.invoke(set_concurrency, ["foo", "1"])
     assert result.exit_code == 0
     assert "Set concurrency limit for foo to 1" in result.output
-
-
-def test_unsupported(unsupported_instance_runner):
-    _instance, runner = unsupported_instance_runner
-    result = runner.invoke(get_concurrency)
-    assert result.exit_code == 1
-    assert "does not support global concurrency limits" in result.output
-
-    result = runner.invoke(set_concurrency, ["foo", "1"])
-    assert result.exit_code == 1
-    assert "does not support global concurrency limits" in result.output