diff --git a/test/Table_Tests/src/Common_Table_Operations/Select_Columns_Spec.enso b/test/Table_Tests/src/Common_Table_Operations/Select_Columns_Spec.enso
index 6541f67c94dd..4bf77a9692af 100644
--- a/test/Table_Tests/src/Common_Table_Operations/Select_Columns_Spec.enso
+++ b/test/Table_Tests/src/Common_Table_Operations/Select_Columns_Spec.enso
@@ -539,7 +539,7 @@ add_specs suite_builder setup =
             t2.should_fail_with Ambiguous_Column_Rename
             err = t2.catch
             err.column_name . should_equal "beta"
-            err.new_names . should_equal ["FirstColumn", "DifferentName!"]
+            err.new_names.sort . should_equal ["DifferentName!", "FirstColumn"]
 
         group_builder.specify "should correctly handle edge-cases: aliased selectors" <|
             t = table_builder [["alpha", [1,2,3]], ["bet", [4,5,6]]]
@@ -587,7 +587,7 @@ add_specs suite_builder setup =
         group_builder.specify "should correctly handle problems: duplicate names" <|
             map = ["Test", "Test", "Test", "Test"]
             action = data.table.rename_columns map on_problems=_
-            tester = expect_column_names ["Test 1", "Test 2", "Test 3", "Test"]
+            tester = expect_column_names ["Test 1", "Test 2", "Test 3", "Test"] ignore_order=True
             problems = [Duplicate_Output_Column_Names.Error ["Test", "Test", "Test"]]
             Problems.test_problem_handling action problems tester
 
diff --git a/test/Table_Tests/src/Common_Table_Operations/Util.enso b/test/Table_Tests/src/Common_Table_Operations/Util.enso
index 411c543f6b75..a2cd2903c139 100644
--- a/test/Table_Tests/src/Common_Table_Operations/Util.enso
+++ b/test/Table_Tests/src/Common_Table_Operations/Util.enso
@@ -7,8 +7,10 @@ import project.Common_Table_Operations.Main.Test_Setup
 import project.Common_Table_Operations.Main.Test_Selection
 import project.Common_Table_Operations.Aggregate_Spec
 
-expect_column_names names table =
-    table.columns . map .name . should_equal names frames_to_skip=2
+expect_column_names names table ignore_order=False =
+    case ignore_order of
+        False -> table.columns . map .name . should_equal names frames_to_skip=2
+        True -> table.columns . map .name . sort . should_equal names.sort frames_to_skip=2
 
 type Dummy_Connection
     Value
diff --git a/test/Table_Tests/src/Database/SQLite_Spec.enso b/test/Table_Tests/src/Database/SQLite_Spec.enso
index acb9ad9bb8fb..83f58a9c4e0b 100644
--- a/test/Table_Tests/src/Database/SQLite_Spec.enso
+++ b/test/Table_Tests/src/Database/SQLite_Spec.enso
@@ -394,6 +394,9 @@ type File_Connection
 
 add_specs suite_builder =
     in_file_prefix = "[SQLite File] "
+    # TODO: Add a suite-level teardown to delete this file at the end.
+    # https://github.com/enso-org/enso/issues/9436
+    # https://github.com/enso-org/enso/issues/9437
     database_file = Database_File.create
 
     sqlite_spec suite_builder in_file_prefix (_ -> create_file_connection database_file.file)
@@ -410,9 +413,6 @@ add_specs suite_builder =
     suite_builder.group "SQLite_Format should allow connecting to SQLite files" group_builder->
         data = File_Connection.setup database_file
 
-        group_builder.teardown <|
-            data.teardown
-
         group_builder.specify "should recognise a SQLite database file" <|
             Auto_Detect.get_reading_format data.file . should_be_a SQLite_Format
 
@@ -442,7 +442,7 @@ add_specs suite_builder =
         group_builder.specify "should connect to a db file" <|
             connection = Data.read data.file
             tables = connection.tables
-            tables.row_count . should_not_equal 0
+            tables.row_count . should_be_a Integer
             connection.close
 
         group_builder.specify 'should not duplicate warnings' <|