diff --git a/docs/topics/download-handlers.rst b/docs/topics/download-handlers.rst
index 1e95864c6..96cf46c35 100644
--- a/docs/topics/download-handlers.rst
+++ b/docs/topics/download-handlers.rst
@@ -206,8 +206,6 @@ If you want to use this handler you need to replace the default one for the
 
     Known limitations of the HTTP/2 implementation in this handler include:
 
-    -   No support for proxies.
-
     -   No support for HTTP/2 Cleartext (h2c), since no major browser supports
         HTTP/2 unencrypted (refer `http2 faq`_).
 
diff --git a/tests/test_downloader_handler_twisted_http11.py b/tests/test_downloader_handler_twisted_http11.py
index ed742e55f..ad06f2a23 100644
--- a/tests/test_downloader_handler_twisted_http11.py
+++ b/tests/test_downloader_handler_twisted_http11.py
@@ -93,6 +93,10 @@ class TestHttpProxy(HTTP11DownloadHandlerMixin, TestHttpProxyBase):
     pass
 
 
+class TestHttpsProxy(HTTP11DownloadHandlerMixin, TestHttpProxyBase):
+    is_secure = True
+
+
 @pytest.mark.requires_mitmproxy
 class TestMitmProxy(HTTP11DownloadHandlerMixin, TestMitmProxyBase):
     # not implemented
diff --git a/tests/test_downloader_handler_twisted_http2.py b/tests/test_downloader_handler_twisted_http2.py
index 60b276166..acecd2e43 100644
--- a/tests/test_downloader_handler_twisted_http2.py
+++ b/tests/test_downloader_handler_twisted_http2.py
@@ -10,8 +10,13 @@ from twisted.web.http import H2_ENABLED
 
 from scrapy import Spider
 from scrapy.crawler import Crawler
-from scrapy.exceptions import DownloadFailedError, NotConfigured
+from scrapy.exceptions import (
+    DownloadFailedError,
+    NotConfigured,
+    UnsupportedURLSchemeError,
+)
 from scrapy.http import Request
+from scrapy.utils.defer import maybe_deferred_to_future
 from tests.test_downloader_handlers_http_base import (
     TestHttpProxyBase,
     TestHttpsBase,
@@ -27,6 +32,7 @@ from tests.utils.decorators import coroutine_test
 if TYPE_CHECKING:
     from scrapy.core.downloader.handlers import DownloadHandlerProtocol
     from tests.mockserver.http import MockServer
+    from tests.mockserver.proxy_echo import ProxyEchoMockServer
 
 
 pytestmark = [
@@ -187,12 +193,32 @@ class TestHttp2WithCrawler(H2DownloadHandlerMixin, TestHttpWithCrawlerBase):
         pytest.skip("headers_received support is not implemented")
 
 
-@pytest.mark.skip(reason="Proxy support is not implemented yet")
 class TestHttp2Proxy(H2DownloadHandlerMixin, TestHttpProxyBase):
     is_secure = True
+    expected_http_proxy_request_body = b"/"
+
+    @coroutine_test
+    async def test_download_with_proxy_https_timeout(
+        self, proxy_mockserver: ProxyEchoMockServer
+    ) -> None:
+        with pytest.raises(NotImplementedError):
+            await maybe_deferred_to_future(
+                super().test_download_with_proxy_https_timeout(proxy_mockserver)  # type: ignore[arg-type]
+            )
+
+    @coroutine_test
+    async def test_download_with_proxy_without_http_scheme(
+        self, proxy_mockserver: ProxyEchoMockServer
+    ) -> None:
+        with pytest.raises(UnsupportedURLSchemeError):
+            await maybe_deferred_to_future(
+                super().test_download_with_proxy_without_http_scheme(proxy_mockserver)  # type: ignore[arg-type]
+            )
 
 
 @pytest.mark.skip(reason="Proxy support is not implemented yet")
 @pytest.mark.requires_mitmproxy
 class TestMitmProxy(H2DownloadHandlerMixin, TestMitmProxyBase):
-    pass
+    handler_supports_http = False
+    # not implemented
+    handler_supports_tls_in_tls = False
diff --git a/tests/test_downloader_handlers_http_base.py b/tests/test_downloader_handlers_http_base.py
index 31239e1d8..88b1101b7 100644
--- a/tests/test_downloader_handlers_http_base.py
+++ b/tests/test_downloader_handlers_http_base.py
@@ -1152,6 +1152,8 @@ class TestHttpProxyBase(ABC):
 class TestMitmProxyBase(ABC):
     # whether the handler supports HTTPS proxies with HTTPS destinations
     handler_supports_tls_in_tls: bool = True
+    # whether the handler supports HTTP destinations
+    handler_supports_http: bool = True
 
     @property
     @abstractmethod
@@ -1170,6 +1172,8 @@ class TestMitmProxyBase(ABC):
         https_dest: bool,
     ) -> None:
         """HTTP proxy, HTTP or HTTPS destination."""
+        if not https_dest and not self.handler_supports_http:
+            pytest.skip("HTTP destinations are not supported")
         crawler = get_crawler(SingleRequestSpider, self.settings_dict)
         with caplog.at_level(logging.DEBUG):
             await crawler.crawl_async(
@@ -1191,6 +1195,8 @@ class TestMitmProxyBase(ABC):
         https_dest: bool,
     ) -> None:
         """HTTPS proxy, HTTP or HTTPS destination."""
+        if not https_dest and not self.handler_supports_http:
+            pytest.skip("HTTP destinations are not supported")
         if https_dest and not self.handler_supports_tls_in_tls:
             pytest.skip("HTTPS proxy to HTTPS destination is not supported")
         crawler = get_crawler(SingleRequestSpider, self.settings_dict)
@@ -1215,6 +1221,8 @@ class TestMitmProxyBase(ABC):
         https_dest: bool,
     ) -> None:
         """HTTP proxy, HTTP or HTTPS destination, wrong proxy creds."""
+        if not https_dest and not self.handler_supports_http:
+            pytest.skip("HTTP destinations are not supported")
         envvar = "https_proxy" if https_dest else "http_proxy"
         monkeypatch.setenv(envvar, wrong_credentials(os.environ[envvar]))
         crawler = get_crawler(SimpleSpider, self.settings_dict)
@@ -1239,6 +1247,8 @@ class TestMitmProxyBase(ABC):
     ) -> None:
         """HTTP proxy, HTTP or HTTPS destination. Check that the auth header
         is not sent to the destination."""
+        if not https_dest and not self.handler_supports_http:
+            pytest.skip("HTTP destinations are not supported")
         request = Request(mockserver.url("/echo", is_secure=https_dest))
         crawler = get_crawler(SingleRequestSpider, self.settings_dict)
         with caplog.at_level(logging.DEBUG):