diff --git a/httpx/__init__.py b/httpx/__init__.py
index dec5cff19c..c2925d5c81 100644
--- a/httpx/__init__.py
+++ b/httpx/__init__.py
@@ -1,7 +1,7 @@
 from .__version__ import __description__, __title__, __version__
 from .api import delete, get, head, options, patch, post, put, request
 from .client import AsyncClient, Client
-from .concurrency import AsyncioBackend
+from .concurrency.asyncio import AsyncioBackend
 from .config import (
     USER_AGENT,
     CertTypes,
diff --git a/httpx/client.py b/httpx/client.py
index fd86fb0c83..ae75f15da8 100644
--- a/httpx/client.py
+++ b/httpx/client.py
@@ -5,7 +5,7 @@
 import hstspreload
 
 from .auth import HTTPBasicAuth
-from .concurrency import AsyncioBackend
+from .concurrency.asyncio import AsyncioBackend
 from .config import (
     DEFAULT_MAX_REDIRECTS,
     DEFAULT_POOL_LIMITS,
diff --git a/httpx/concurrency/__init__.py b/httpx/concurrency/__init__.py
new file mode 100644
index 0000000000..e69de29bb2
diff --git a/httpx/concurrency.py b/httpx/concurrency/asyncio.py
similarity index 98%
rename from httpx/concurrency.py
rename to httpx/concurrency/asyncio.py
index f1bf585448..6c5dc0c481 100644
--- a/httpx/concurrency.py
+++ b/httpx/concurrency/asyncio.py
@@ -14,9 +14,9 @@
 import typing
 from types import TracebackType
 
-from .config import PoolLimits, TimeoutConfig
-from .exceptions import ConnectTimeout, PoolTimeout, ReadTimeout, WriteTimeout
-from .interfaces import (
+from ..config import PoolLimits, TimeoutConfig
+from ..exceptions import ConnectTimeout, PoolTimeout, ReadTimeout, WriteTimeout
+from ..interfaces import (
     BaseBackgroundManager,
     BasePoolSemaphore,
     BaseReader,
diff --git a/httpx/dispatch/connection.py b/httpx/dispatch/connection.py
index b51fec688b..9dda06d031 100644
--- a/httpx/dispatch/connection.py
+++ b/httpx/dispatch/connection.py
@@ -1,7 +1,7 @@
 import functools
 import typing
 
-from ..concurrency import AsyncioBackend
+from ..concurrency.asyncio import AsyncioBackend
 from ..config import (
     DEFAULT_TIMEOUT_CONFIG,
     CertTypes,
diff --git a/httpx/dispatch/connection_pool.py b/httpx/dispatch/connection_pool.py
index 3090a9a514..33dbd19e2f 100644
--- a/httpx/dispatch/connection_pool.py
+++ b/httpx/dispatch/connection_pool.py
@@ -1,6 +1,6 @@
 import typing
 
-from ..concurrency import AsyncioBackend
+from ..concurrency.asyncio import AsyncioBackend
 from ..config import (
     DEFAULT_POOL_LIMITS,
     DEFAULT_TIMEOUT_CONFIG,
diff --git a/httpx/dispatch/http11.py b/httpx/dispatch/http11.py
index 623ac1df6b..eff419a1cb 100644
--- a/httpx/dispatch/http11.py
+++ b/httpx/dispatch/http11.py
@@ -2,7 +2,7 @@
 
 import h11
 
-from ..concurrency import TimeoutFlag
+from ..concurrency.asyncio import TimeoutFlag
 from ..config import TimeoutConfig, TimeoutTypes
 from ..interfaces import BaseReader, BaseWriter, ConcurrencyBackend
 from ..models import AsyncRequest, AsyncResponse
diff --git a/httpx/dispatch/http2.py b/httpx/dispatch/http2.py
index 980b07b25c..f932598236 100644
--- a/httpx/dispatch/http2.py
+++ b/httpx/dispatch/http2.py
@@ -4,7 +4,7 @@
 import h2.connection
 import h2.events
 
-from ..concurrency import TimeoutFlag
+from ..concurrency.asyncio import TimeoutFlag
 from ..config import TimeoutConfig, TimeoutTypes
 from ..interfaces import BaseReader, BaseWriter, ConcurrencyBackend
 from ..models import AsyncRequest, AsyncResponse