diff --git a/CHANGES/3803.feature b/CHANGES/3803.feature
new file mode 100644
index 0000000000..b2a4656196
--- /dev/null
+++ b/CHANGES/3803.feature
@@ -0,0 +1 @@
+Use Brotli instead of brotlipy
diff --git a/aiohttp/http_parser.py b/aiohttp/http_parser.py
index 3ee404f541..13f0c86b1f 100644
--- a/aiohttp/http_parser.py
+++ b/aiohttp/http_parser.py
@@ -6,7 +6,7 @@
 import zlib
 from contextlib import suppress
 from enum import IntEnum
-from typing import Generic, List, Optional, Tuple, Type, TypeVar, Union
+from typing import Any, Generic, List, Optional, Tuple, Type, TypeVar, Union
 
 from multidict import CIMultiDict, CIMultiDictProxy, istr
 from yarl import URL
@@ -804,6 +804,8 @@ def feed_data(
 class DeflateBuffer:
     """DeflateStream decompress stream and feed data into specified stream."""
 
+    decompressor: Any
+
     def __init__(self, out: StreamReader, encoding: Optional[str]) -> None:
         self.out = out
         self.size = 0
@@ -814,9 +816,27 @@ def __init__(self, out: StreamReader, encoding: Optional[str]) -> None:
             if not HAS_BROTLI:  # pragma: no cover
                 raise ContentEncodingError(
                     "Can not decode content-encoding: brotli (br). "
-                    "Please install `brotlipy`"
+                    "Please install `Brotli`"
                 )
-            self.decompressor = brotli.Decompressor()
+
+            class BrotliDecoder:
+                # Supports both 'brotlipy' and 'Brotli' packages
+                # since they share an import name. The top branches
+                # are for 'brotlipy' and bottom branches for 'Brotli'
+                def __init__(self) -> None:
+                    self._obj = brotli.Decompressor()
+
+                def decompress(self, data: bytes) -> bytes:
+                    if hasattr(self._obj, "decompress"):
+                        return self._obj.decompress(data)
+                    return self._obj.process(data)
+
+                def flush(self) -> bytes:
+                    if hasattr(self._obj, "flush"):
+                        return self._obj.flush()
+                    return b""
+
+            self.decompressor = BrotliDecoder()
         else:
             zlib_mode = 16 + zlib.MAX_WBITS if encoding == "gzip" else zlib.MAX_WBITS
             self.decompressor = zlib.decompressobj(wbits=zlib_mode)
diff --git a/docs/client_quickstart.rst b/docs/client_quickstart.rst
index fe770243ec..e96dca453a 100644
--- a/docs/client_quickstart.rst
+++ b/docs/client_quickstart.rst
@@ -174,7 +174,7 @@ The ``gzip`` and ``deflate`` transfer-encodings are automatically
 decoded for you.
 
 You can enable ``brotli`` transfer-encodings support,
-just install  `brotlipy <https://github.com/python-hyper/brotlipy>`_.
+just install  `brotli <https://github.com/python-hyper/Brotli>`_.
 
 JSON Request
 ============
diff --git a/docs/index.rst b/docs/index.rst
index 13fe723b41..4091c00199 100644
--- a/docs/index.rst
+++ b/docs/index.rst
@@ -52,7 +52,7 @@ Installing speedups altogether
 ------------------------------
 
 The following will get you ``aiohttp`` along with :term:`chardet`,
-:term:`aiodns` and ``brotlipy`` in one bundle. No need to type
+:term:`aiodns` and ``Brotli`` in one bundle. No need to type
 separate commands anymore!
 
 .. code-block:: bash
diff --git a/requirements/base.txt b/requirements/base.txt
index 23a5f40733..9b5a8ff848 100644
--- a/requirements/base.txt
+++ b/requirements/base.txt
@@ -6,7 +6,7 @@ async-generator==1.10
 async-timeout==4.0.0a3
 asynctest==0.13.0; python_version<"3.8"
 attrs==20.3.0
-brotlipy==0.7.0
+brotli==1.0.7
 cchardet==2.1.7
 chardet==3.0.4
 frozenlist==1.1.1
diff --git a/setup.py b/setup.py
index f21681333e..799c0fafa0 100644
--- a/setup.py
+++ b/setup.py
@@ -138,7 +138,7 @@ def read(f):
     extras_require={
         "speedups": [
             "aiodns",
-            "brotlipy",
+            "Brotli",
             "cchardet",
         ],
     },