diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index ec325e5f..2fd086db 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -24,6 +24,8 @@ jobs:
         - "3.13"
         - "3.14"
         - "3.14t"
+        - "3.15"
+        - "3.15t"
         os: [ubuntu-latest, macos-latest]
 
     env:
@@ -55,7 +57,8 @@ jobs:
     - name: Install macOS deps
       if: matrix.os == 'macos-latest' && steps.release.outputs.version == 0
       run: |
-        brew install gnu-sed libtool autoconf automake
+        brew install gnu-sed libtool autoconf automake openssl@3
+        echo "OPENSSL_DIR=$(brew --prefix openssl@3)" >> "$GITHUB_ENV"
 
     - name: Install Python Deps
       if: steps.release.outputs.version == 0
diff --git a/pyproject.toml b/pyproject.toml
index 1802b406..d547ccae 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -41,7 +41,9 @@ test = [
     'flake8~=6.1',
     'psutil',
     'pycodestyle~=2.11.0',
-    'pyOpenSSL~=25.3.0',
+    # pyOpenSSL 26.4 requires Python 3.9 or later.
+    'pyOpenSSL~=25.3.0; python_version < "3.9"',
+    'pyOpenSSL~=26.4.0; python_version >= "3.9"',
     'mypy>=0.800',
 ]
 dev = [
diff --git a/tests/test_sockets.py b/tests/test_sockets.py
index e7c335e1..63cc8a6d 100644
--- a/tests/test_sockets.py
+++ b/tests/test_sockets.py
@@ -1,4 +1,5 @@
 import asyncio
+import os
 import pickle
 import select
 import socket
@@ -272,7 +273,9 @@ def test_socket_sync_remove(self):
         # See https://github.com/MagicStack/uvloop/issues/61 for details
 
         sock = socket.socket()
-        epoll = select.epoll.fromfd(self.loop._get_backend_id())
+        # Keep a separate descriptor for the backend epoll instance.  The loop
+        # owns its descriptor and closes it when the loop is closed.
+        epoll = select.epoll.fromfd(os.dup(self.loop._get_backend_id()))
 
         try:
             cb = lambda: None
@@ -288,8 +291,8 @@ def test_socket_sync_remove(self):
 
         finally:
             sock.close()
-            self.loop.close()
             epoll.close()
+            self.loop.close()
 
     def test_add_reader_or_writer_transport_fd(self):
         def assert_raises():