diff --git a/seleniumbase/core/mysql.py b/seleniumbase/core/mysql.py
index fca49281..1a2edb6c 100644
--- a/seleniumbase/core/mysql.py
+++ b/seleniumbase/core/mysql.py
@@ -19,6 +19,18 @@ class DatabaseManager:
             constants.PipInstall.FINDLOCK
         )
         with pip_find_lock:
+            if sys.version_info >= (3, 7) and sys.version_info < (3, 9):
+                # Fix bug in newer cryptography for Python 3.7 and 3.8:
+                # "pyo3_runtime.PanicException: Python API call failed"
+                # (Match the version needed for pdfminer.six functions)
+                try:
+                    import cryptography
+                    if cryptography.__version__ != "39.0.2":
+                        shared_utils.pip_install(
+                            "cryptography", version="39.0.2"
+                        )
+                except Exception:
+                    shared_utils.pip_install("cryptography", version="39.0.2")
             try:
                 import cryptography  # noqa: F401
                 import pymysql
diff --git a/seleniumbase/fixtures/base_case.py b/seleniumbase/fixtures/base_case.py
index b6fc4f0b..c527a3fa 100644
--- a/seleniumbase/fixtures/base_case.py
+++ b/seleniumbase/fixtures/base_case.py
@@ -6380,6 +6380,22 @@ class BaseCase(unittest.TestCase):
                 constants.PipInstall.FINDLOCK
             )
             with pip_find_lock:
+                if (
+                    sys.version_info >= (3, 7)
+                    and sys.version_info < (3, 9)
+                ):
+                    # Fix bug in newer cryptography for Python 3.7 and 3.8:
+                    # "pyo3_runtime.PanicException: Python API call failed"
+                    try:
+                        import cryptography
+                        if cryptography.__version__ != "39.0.2":
+                            shared_utils.pip_install(
+                                "cryptography", version="39.0.2"
+                            )
+                    except Exception:
+                        shared_utils.pip_install(
+                            "cryptography", version="39.0.2"
+                        )
                 try:
                     from pdfminer.high_level import extract_text
                 except Exception:
diff --git a/setup.py b/setup.py
index 8f9218bd..8b02b78c 100755
--- a/setup.py
+++ b/setup.py
@@ -264,7 +264,8 @@ setup(
             'pdfminer.six==20211012;python_version<"3.7"',
             'pdfminer.six==20221105;python_version>="3.7"',
             'cryptography==36.0.2;python_version<"3.7"',
-            'cryptography==41.0.3;python_version>="3.7"',
+            'cryptography==39.0.2;python_version>="3.7" and python_version<"3.9"',  # noqa: E501
+            'cryptography==41.0.3;python_version>="3.9"',
             "cffi==1.15.1",
             "pycparser==2.21",