diff --git a/tests/test_concurrency.py b/tests/test_concurrency.py
index 4e600bc3..1ebdeed6 100644
--- a/tests/test_concurrency.py
+++ b/tests/test_concurrency.py
@@ -12,13 +12,13 @@ from ocrmypdf import ExitCode
 from .conftest import run_ocrmypdf_api
 
 
-@pytest.mark.skipif(True, reason="--use-threads is currently default")
 @pytest.mark.skipif(os.name == 'nt', reason="Windows doesn't have SIGKILL")
 def test_simulate_oom_killer(multipage, no_outpdf):
     exitcode = run_ocrmypdf_api(
         multipage,
         no_outpdf,
         '--force-ocr',
+        '--no-use-threads',
         '--plugin',
         'tests/plugins/tesseract_simulate_oom_killer.py',
     )
diff --git a/tests/test_tesseract.py b/tests/test_tesseract.py
index 69d18202..ceaf8d35 100644
--- a/tests/test_tesseract.py
+++ b/tests/test_tesseract.py
@@ -59,7 +59,7 @@ def test_content_preservation(resources, outpdf):
 
 
 @pytest.mark.skipif(
-    tesseract.version() > tesseract.TesseractVersion('5'), reason="doesn't fool Tess 5"
+    tesseract.version() >= tesseract.TesseractVersion('5'), reason="doesn't fool Tess 5"
 )
 def test_no_languages(tmp_path, monkeypatch):
     (tmp_path / 'tessdata').mkdir()