diff --git a/CHANGES/4630.bugfix b/CHANGES/4630.bugfix
new file mode 100644
index 00000000000..65d783be049
--- /dev/null
+++ b/CHANGES/4630.bugfix
@@ -0,0 +1 @@
+Handle the last CRLF correctly even if it is received via separate TCP segment.
diff --git a/CONTRIBUTORS.txt b/CONTRIBUTORS.txt
index b40c107f6cd..f95ef97f8bd 100644
--- a/CONTRIBUTORS.txt
+++ b/CONTRIBUTORS.txt
@@ -153,6 +153,7 @@ Julia Tsemusheva
 Julien Duponchelle
 Jungkook Park
 Junjie Tao
+Junyeong Jeong
 Justas Trimailovas
 Justin Foo
 Justin Turner Arthur
diff --git a/aiohttp/http_parser.py b/aiohttp/http_parser.py
index 64e4b30c22e..b76ce094014 100644
--- a/aiohttp/http_parser.py
+++ b/aiohttp/http_parser.py
@@ -668,12 +668,26 @@ def feed_data(self,
                 # we should get another \r\n otherwise
                 # trailers needs to be skiped until \r\n\r\n
                 if self._chunk == ChunkState.PARSE_MAYBE_TRAILERS:
-                    if chunk[:2] == SEP:
-                        # end of stream
-                        self.payload.feed_eof()
-                        return True, chunk[2:]
+                    if len(chunk) >= 2:
+                        if chunk[:2] == SEP:
+                            # end of stream
+                            self.payload.feed_eof()
+                            return True, chunk[2:]
+                        else:
+                            self._chunk = ChunkState.PARSE_TRAILERS
                     else:
-                        self._chunk = ChunkState.PARSE_TRAILERS
+                        # Both CR and LF, or only LF may not be received
+                        # yet. It is expected that CRLF or LF will be shown at
+                        # the very first byte next time, otherwise trailers
+                        # should come.
+                        # The last CRLF which marks the end of response
+                        # might not be contained in the same TCP segment which
+                        # delivered the size indicator.
+                        if not chunk or chunk[:1] == SEP[:1]:
+                            self._chunk_tail = chunk
+                            return False, b''
+                        else:
+                            self._chunk = ChunkState.PARSE_TRAILERS
 
                 # read and discard trailer up to the CRLF terminator
                 if self._chunk == ChunkState.PARSE_TRAILERS: