diff --git a/gunicorn/config.py b/gunicorn/config.py
index 1c36f987..a789142c 100644
--- a/gunicorn/config.py
+++ b/gunicorn/config.py
@@ -680,7 +680,7 @@ class WorkerClass(Setting):
         * ``sync``
         * ``eventlet`` - Requires eventlet >= 0.24.1 (or install it via
           ``pip install gunicorn[eventlet]``)
-        * ``gevent``   - Requires gevent >= 1.4 (or install it via
+        * ``gevent``   - Requires gevent >= 23.9.0 (or install it via
           ``pip install gunicorn[gevent]``)
         * ``tornado``  - Requires tornado >= 0.2 (or install it via
           ``pip install gunicorn[tornado]``)
diff --git a/gunicorn/workers/ggevent.py b/gunicorn/workers/ggevent.py
index 437eb7d0..ad9ecc83 100644
--- a/gunicorn/workers/ggevent.py
+++ b/gunicorn/workers/ggevent.py
@@ -11,11 +11,11 @@ import time
 try:
     import gevent
 except ImportError:
-    raise RuntimeError("gevent worker requires gevent 1.4 or higher")
+    raise RuntimeError("gevent worker requires gevent 23.9.0 or higher")
 else:
     from packaging.version import parse as parse_version
-    if parse_version(gevent.__version__) < parse_version('1.4'):
-        raise RuntimeError("gevent worker requires gevent 1.4 or higher")
+    if parse_version(gevent.__version__) < parse_version('23.9.0'):
+        raise RuntimeError("gevent worker requires gevent 23.9.0 or higher")
 
 from gevent.pool import Pool
 from gevent.server import StreamServer
@@ -89,10 +89,7 @@ class GeventWorker(AsyncWorker):
         try:
             # Stop accepting requests
             for server in servers:
-                if hasattr(server, 'close'):  # gevent 1.0
-                    server.close()
-                if hasattr(server, 'kill'):  # gevent < 1.0
-                    server.kill()
+                server.close()
 
             # Handle current requests until graceful_timeout
             ts = time.time()
diff --git a/pyproject.toml b/pyproject.toml
index b247360e..3549632d 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -47,7 +47,7 @@ Documentation = "https://docs.gunicorn.org"
 Changelog = "https://docs.gunicorn.org/en/stable/news.html"
 
 [project.optional-dependencies]
-gevent = ["gevent>=1.4.0"]
+gevent = ["gevent>=23.9.0"]
 eventlet = ["eventlet>=0.24.1,!=0.36.0"]
 tornado = ["tornado>=6.5.0"]
 gthread = []
diff --git a/tests/workers/test_ggevent.py b/tests/workers/test_ggevent.py
index f9a7bbfa..7e5d581e 100644
--- a/tests/workers/test_ggevent.py
+++ b/tests/workers/test_ggevent.py
@@ -2,5 +2,215 @@
 # This file is part of gunicorn released under the MIT license.
 # See the NOTICE for more information.
 
+from unittest import mock
+
+import pytest
+
+try:
+    import gevent
+    HAS_GEVENT = True
+except ImportError:
+    HAS_GEVENT = False
+
+pytestmark = pytest.mark.skipif(not HAS_GEVENT, reason="gevent not installed")
+
+
 def test_import():
     __import__('gunicorn.workers.ggevent')
+
+
+def test_version_requirement():
+    """Test that gevent 23.9.0+ is required."""
+    from gunicorn.workers import ggevent
+    from packaging.version import parse as parse_version
+    assert parse_version(gevent.__version__) >= parse_version('23.9.0')
+
+
+class TestGeventWorkerInit:
+    """Test GeventWorker initialization."""
+
+    def test_worker_has_no_server_class(self):
+        """Test that GeventWorker has no server_class by default."""
+        from gunicorn.workers.ggevent import GeventWorker
+        assert GeventWorker.server_class is None
+
+    def test_worker_has_no_wsgi_handler(self):
+        """Test that GeventWorker has no wsgi_handler by default."""
+        from gunicorn.workers.ggevent import GeventWorker
+        assert GeventWorker.wsgi_handler is None
+
+    def test_init_process_patches_and_reinits(self):
+        """Test that init_process calls patch and reinits the hub."""
+        from gunicorn.workers.ggevent import GeventWorker
+
+        worker = mock.Mock(spec=GeventWorker)
+        worker.sockets = []
+
+        with mock.patch('gunicorn.workers.ggevent.hub') as mock_hub, \
+             mock.patch.object(GeventWorker.__bases__[0], 'init_process'):
+            GeventWorker.init_process(worker)
+
+            # Verify patch was called
+            worker.patch.assert_called_once()
+            mock_hub.reinit.assert_called_once()
+
+
+class TestGeventWorkerRun:
+    """Test GeventWorker run method."""
+
+    def test_run_creates_stream_servers(self):
+        """Test that run creates StreamServer instances for each socket."""
+        from gunicorn.workers.ggevent import GeventWorker
+
+        worker = mock.Mock(spec=GeventWorker)
+        worker.sockets = [mock.Mock()]
+        worker.cfg = mock.Mock(is_ssl=False, workers=1, graceful_timeout=30)
+        worker.server_class = None
+        worker.worker_connections = 1000
+
+        # Make alive return True once, then False to exit the loop
+        worker.alive = False
+
+        with mock.patch('gunicorn.workers.ggevent.Pool') as mock_pool, \
+             mock.patch('gunicorn.workers.ggevent.StreamServer') as mock_server_cls, \
+             mock.patch('gunicorn.workers.ggevent.gevent') as mock_gevent:
+
+            mock_server = mock.Mock()
+            mock_server.pool = mock.Mock()
+            mock_server.pool.free_count.return_value = mock_server.pool.size
+            mock_server_cls.return_value = mock_server
+
+            GeventWorker.run(worker)
+
+            mock_server_cls.assert_called_once()
+            mock_server.start.assert_called_once()
+            mock_server.close.assert_called_once()
+
+    def test_run_with_ssl(self):
+        """Test that run configures SSL context when is_ssl is True."""
+        from gunicorn.workers.ggevent import GeventWorker
+
+        worker = mock.Mock(spec=GeventWorker)
+        worker.sockets = [mock.Mock()]
+        worker.cfg = mock.Mock(is_ssl=True, workers=1, graceful_timeout=30)
+        worker.server_class = None
+        worker.worker_connections = 1000
+        worker.alive = False
+
+        with mock.patch('gunicorn.workers.ggevent.Pool'), \
+             mock.patch('gunicorn.workers.ggevent.StreamServer') as mock_server_cls, \
+             mock.patch('gunicorn.workers.ggevent.gevent'), \
+             mock.patch('gunicorn.workers.ggevent.ssl_context') as mock_ssl_ctx:
+
+            mock_server = mock.Mock()
+            mock_server.pool = mock.Mock()
+            mock_server.pool.free_count.return_value = mock_server.pool.size
+            mock_server_cls.return_value = mock_server
+            mock_ssl_ctx.return_value = mock.Mock()
+
+            GeventWorker.run(worker)
+
+            mock_ssl_ctx.assert_called_once_with(worker.cfg)
+            # Verify ssl_context was passed to StreamServer
+            call_kwargs = mock_server_cls.call_args[1]
+            assert 'ssl_context' in call_kwargs
+
+
+class TestSignalHandling:
+    """Test signal handling in GeventWorker."""
+
+    def test_handle_quit_spawns_greenlet(self):
+        """Test that handle_quit spawns a greenlet instead of blocking."""
+        from gunicorn.workers.ggevent import GeventWorker
+
+        worker = mock.Mock(spec=GeventWorker)
+
+        with mock.patch('gunicorn.workers.ggevent.gevent') as mock_gevent:
+            GeventWorker.handle_quit(worker, mock.Mock(), mock.Mock())
+            mock_gevent.spawn.assert_called_once()
+
+    def test_handle_usr1_spawns_greenlet(self):
+        """Test that handle_usr1 spawns a greenlet instead of blocking."""
+        from gunicorn.workers.ggevent import GeventWorker
+
+        worker = mock.Mock(spec=GeventWorker)
+
+        with mock.patch('gunicorn.workers.ggevent.gevent') as mock_gevent:
+            GeventWorker.handle_usr1(worker, mock.Mock(), mock.Mock())
+            mock_gevent.spawn.assert_called_once()
+
+    def test_notify_exits_on_parent_change(self):
+        """Test that notify exits when parent PID changes."""
+        from gunicorn.workers.ggevent import GeventWorker
+
+        worker = mock.Mock(spec=GeventWorker)
+        worker.ppid = 1234
+        worker.log = mock.Mock()
+
+        with mock.patch('gunicorn.workers.ggevent.os') as mock_os, \
+             mock.patch.object(GeventWorker.__bases__[0], 'notify'):
+            mock_os.getppid.return_value = 5678  # Different PID
+
+            with pytest.raises(SystemExit):
+                GeventWorker.notify(worker)
+
+
+class TestPyWSGIWorker:
+    """Test PyWSGI-based worker classes."""
+
+    def test_pywsgi_worker_has_server_class(self):
+        """Test that GeventPyWSGIWorker has proper server_class."""
+        from gunicorn.workers.ggevent import GeventPyWSGIWorker, PyWSGIServer
+        assert GeventPyWSGIWorker.server_class is PyWSGIServer
+
+    def test_pywsgi_worker_has_handler(self):
+        """Test that GeventPyWSGIWorker has proper wsgi_handler."""
+        from gunicorn.workers.ggevent import GeventPyWSGIWorker, PyWSGIHandler
+        assert GeventPyWSGIWorker.wsgi_handler is PyWSGIHandler
+
+    def test_pywsgi_handler_get_environ(self):
+        """Test that PyWSGIHandler adds gunicorn-specific environ keys."""
+        from gunicorn.workers.ggevent import PyWSGIHandler
+
+        handler = mock.Mock(spec=PyWSGIHandler)
+        handler.socket = mock.Mock()
+        handler.path = '/test/path'
+
+        # Mock the parent get_environ
+        with mock.patch.object(PyWSGIHandler.__bases__[0], 'get_environ', return_value={}):
+            env = PyWSGIHandler.get_environ(handler)
+            assert env['gunicorn.sock'] == handler.socket
+            assert env['RAW_URI'] == '/test/path'
+
+
+class TestGeventResponse:
+    """Test GeventResponse helper class."""
+
+    def test_response_attributes(self):
+        """Test GeventResponse stores status, headers, and sent."""
+        from gunicorn.workers.ggevent import GeventResponse
+
+        resp = GeventResponse('200 OK', {'Content-Type': 'text/html'}, 1024)
+        assert resp.status == '200 OK'
+        assert resp.headers == {'Content-Type': 'text/html'}
+        assert resp.sent == 1024
+
+
+class TestTimeoutContext:
+    """Test timeout context manager."""
+
+    def test_timeout_ctx_uses_keepalive(self):
+        """Test that timeout_ctx uses cfg.keepalive."""
+        from gunicorn.workers.ggevent import GeventWorker
+
+        worker = mock.Mock(spec=GeventWorker)
+        worker.cfg = mock.Mock(keepalive=30)
+
+        with mock.patch('gunicorn.workers.ggevent.gevent') as mock_gevent:
+            mock_timeout = mock.Mock()
+            mock_gevent.Timeout.return_value = mock_timeout
+
+            result = GeventWorker.timeout_ctx(worker)
+
+            mock_gevent.Timeout.assert_called_once_with(30, False)
+            assert result == mock_timeout