diff --git a/tests/http/test_02_download.py b/tests/http/test_02_download.py
index d2d149f20f..13d5d2a0f0 100644
--- a/tests/http/test_02_download.py
+++ b/tests/http/test_02_download.py
@@ -581,7 +581,9 @@ class TestDownload:
 
     @pytest.mark.parametrize("proto", ['http/1.1', 'h2', 'h3'])
     def test_02_28_get_compressed(self, env: Env, httpd, nghttpx, proto):
-        if not env.have_h2_curl():
+        if not env.have_compressed_curl():
+            pytest.skip("--compressed not supported")
+        if proto == 'h2' and not env.have_h2_curl():
             pytest.skip("h2 not supported")
         if proto == 'h3' and not env.have_h3():
             pytest.skip("h3 not supported")
diff --git a/tests/http/testenv/env.py b/tests/http/testenv/env.py
index 859b704a35..31db104994 100644
--- a/tests/http/testenv/env.py
+++ b/tests/http/testenv/env.py
@@ -406,6 +406,12 @@ class Env:
     def have_h3_curl() -> bool:
         return 'http3' in Env.CONFIG.curl_props['features']
 
+    @staticmethod
+    def have_compressed_curl() -> bool:
+        return 'brotli' in Env.CONFIG.curl_props['libs'] or \
+               'zlib' in Env.CONFIG.curl_props['libs'] or \
+               'zstd' in Env.CONFIG.curl_props['libs']
+
     @staticmethod
     def curl_uses_lib(libname: str) -> bool:
         return libname.lower() in Env.CONFIG.curl_props['libs']