diff --git a/CHANGES/5012.bugfix b/CHANGES/5012.bugfix
new file mode 100644
index 00000000000..8c429c231f6
--- /dev/null
+++ b/CHANGES/5012.bugfix
@@ -0,0 +1 @@
+Fix connection closing issue in HEAD request.
diff --git a/CONTRIBUTORS.txt b/CONTRIBUTORS.txt
index 6f8a8133d2b..21bf9249bca 100644
--- a/CONTRIBUTORS.txt
+++ b/CONTRIBUTORS.txt
@@ -140,6 +140,7 @@ Jakob Ackermann
 Jakub Wilk
 Jashandeep Sohi
 Jens Steinhauser
+Jeonghun Lee
 Jeongkyu Shin
 Jeroen van der Heijden
 Jesus Cea
diff --git a/aiohttp/client_proto.py b/aiohttp/client_proto.py
index 5526bf26757..859398f4495 100644
--- a/aiohttp/client_proto.py
+++ b/aiohttp/client_proto.py
@@ -153,6 +153,7 @@ def set_response_params(self, *, timer: BaseTimerContext=None,
         self._parser = HttpResponseParser(
             self, self._loop, timer=timer,
             payload_exception=ClientPayloadError,
+            response_with_body=not skip_payload,
             read_until_eof=read_until_eof,
             auto_decompress=auto_decompress)
 
diff --git a/tests/test_client_functional.py b/tests/test_client_functional.py
index ecebea642d2..8fe0e2e1d4d 100644
--- a/tests/test_client_functional.py
+++ b/tests/test_client_functional.py
@@ -54,6 +54,37 @@ async def handler(request):
     assert 1 == len(client._session.connector._conns)
 
 
+async def test_keepalive_after_head_requests_success(
+        aiohttp_client) -> None:
+    async def handler(request):
+        body = await request.read()
+        assert b'' == body
+        return web.Response(body=b'OK')
+
+    cnt_conn_reuse = 0
+
+    async def on_reuseconn(session, ctx, params):
+        nonlocal cnt_conn_reuse
+        cnt_conn_reuse += 1
+
+    trace_config = aiohttp.TraceConfig()
+    trace_config._on_connection_reuseconn.append(on_reuseconn)
+
+    app = web.Application()
+    app.router.add_route('GET', '/', handler)
+
+    connector = aiohttp.TCPConnector(limit=1)
+    client = await aiohttp_client(app, connector=connector,
+                                  trace_configs=[trace_config])
+
+    resp1 = await client.head('/')
+    await resp1.read()
+    resp2 = await client.get('/')
+    await resp2.read()
+
+    assert 1 == cnt_conn_reuse
+
+
 async def test_keepalive_response_released(aiohttp_client) -> None:
     async def handler(request):
         body = await request.read()