diff --git a/httpcore/_async/connection.py b/httpcore/_async/connection.py
index 2f713d49d..5d15b1092 100644
--- a/httpcore/_async/connection.py
+++ b/httpcore/_async/connection.py
@@ -24,6 +24,7 @@ def __init__(
         self,
         origin: Origin,
         http2: bool = False,
+        http1: bool = True,
         uds: str = None,
         ssl_context: SSLContext = None,
         socket: AsyncSocketStream = None,
@@ -33,14 +34,20 @@ def __init__(
     ):
         self.origin = origin
         self.http2 = http2
+        self.http1 = http1
+
         self.uds = uds
         self.ssl_context = SSLContext() if ssl_context is None else ssl_context
         self.socket = socket
         self.local_address = local_address
         self.retries = retries
 
-        if self.http2:
+        if self.http1 and self.http2:
             self.ssl_context.set_alpn_protocols(["http/1.1", "h2"])
+        elif self.http1:
+            self.ssl_context.set_alpn_protocols(["http/1.1"])
+        elif self.http2:
+            self.ssl_context.set_alpn_protocols(["h2"])
 
         self.connection: Optional[AsyncBaseHTTPConnection] = None
         self.is_http11 = False
@@ -147,7 +154,7 @@ def _create_connection(self, socket: AsyncSocketStream) -> None:
         logger.trace(
             "create_connection socket=%r http_version=%r", socket, http_version
         )
-        if http_version == "HTTP/2":
+        if http_version == "HTTP/2" or (self.http2 and not self.http1):
             from .http2 import AsyncHTTP2Connection
 
             self.is_http2 = True
diff --git a/httpcore/_async/connection_pool.py b/httpcore/_async/connection_pool.py
index 650abfc47..feede6c9c 100644
--- a/httpcore/_async/connection_pool.py
+++ b/httpcore/_async/connection_pool.py
@@ -89,8 +89,10 @@ class AsyncConnectionPool(AsyncHTTPTransport):
         connections.
     keepalive_expiry:
         The maximum time to allow before closing a keep-alive connection.
+    http1:
+        Enable/Disable HTTP/1.1 support. Defaults to True.
     http2:
-        Enable HTTP/2 support.
+        Enable/Disable HTTP/2 support. Defaults to False.
     uds:
         Path to a Unix Domain Socket to use instead of TCP sockets.
     local_address:
@@ -111,6 +113,7 @@ def __init__(
         max_keepalive_connections: int = None,
         keepalive_expiry: float = None,
         http2: bool = False,
+        http1: bool = True,
         uds: str = None,
         local_address: str = None,
         retries: int = 0,
@@ -132,6 +135,7 @@ def __init__(
         self._max_keepalive_connections = max_keepalive_connections
         self._keepalive_expiry = keepalive_expiry
         self._http2 = http2
+        self._http1 = http1
         self._uds = uds
         self._local_address = local_address
         self._retries = retries
@@ -176,6 +180,7 @@ def _create_connection(
         return AsyncHTTPConnection(
             origin=origin,
             http2=self._http2,
+            http1=self._http1,
             uds=self._uds,
             ssl_context=self._ssl_context,
             local_address=self._local_address,
diff --git a/httpcore/_sync/connection.py b/httpcore/_sync/connection.py
index 26e69e0ac..9c43b6516 100644
--- a/httpcore/_sync/connection.py
+++ b/httpcore/_sync/connection.py
@@ -24,6 +24,7 @@ def __init__(
         self,
         origin: Origin,
         http2: bool = False,
+        http1: bool = True,
         uds: str = None,
         ssl_context: SSLContext = None,
         socket: SyncSocketStream = None,
@@ -33,14 +34,20 @@ def __init__(
     ):
         self.origin = origin
         self.http2 = http2
+        self.http1 = http1
+
         self.uds = uds
         self.ssl_context = SSLContext() if ssl_context is None else ssl_context
         self.socket = socket
         self.local_address = local_address
         self.retries = retries
 
-        if self.http2:
+        if self.http1 and self.http2:
             self.ssl_context.set_alpn_protocols(["http/1.1", "h2"])
+        elif self.http1:
+            self.ssl_context.set_alpn_protocols(["http/1.1"])
+        elif self.http2:
+            self.ssl_context.set_alpn_protocols(["h2"])
 
         self.connection: Optional[SyncBaseHTTPConnection] = None
         self.is_http11 = False
@@ -147,7 +154,7 @@ def _create_connection(self, socket: SyncSocketStream) -> None:
         logger.trace(
             "create_connection socket=%r http_version=%r", socket, http_version
         )
-        if http_version == "HTTP/2":
+        if http_version == "HTTP/2" or (self.http2 and not self.http1):
             from .http2 import SyncHTTP2Connection
 
             self.is_http2 = True
diff --git a/httpcore/_sync/connection_pool.py b/httpcore/_sync/connection_pool.py
index 7d2ba9eb4..ace2e6b9f 100644
--- a/httpcore/_sync/connection_pool.py
+++ b/httpcore/_sync/connection_pool.py
@@ -89,8 +89,10 @@ class SyncConnectionPool(SyncHTTPTransport):
         connections.
     keepalive_expiry:
         The maximum time to allow before closing a keep-alive connection.
+    http1:
+        Enable/Disable HTTP/1.1 support. Defaults to True.
     http2:
-        Enable HTTP/2 support.
+        Enable/Disable HTTP/2 support. Defaults to False.
     uds:
         Path to a Unix Domain Socket to use instead of TCP sockets.
     local_address:
@@ -111,6 +113,7 @@ def __init__(
         max_keepalive_connections: int = None,
         keepalive_expiry: float = None,
         http2: bool = False,
+        http1: bool = True,
         uds: str = None,
         local_address: str = None,
         retries: int = 0,
@@ -132,6 +135,7 @@ def __init__(
         self._max_keepalive_connections = max_keepalive_connections
         self._keepalive_expiry = keepalive_expiry
         self._http2 = http2
+        self._http1 = http1
         self._uds = uds
         self._local_address = local_address
         self._retries = retries
@@ -176,6 +180,7 @@ def _create_connection(
         return SyncHTTPConnection(
             origin=origin,
             http2=self._http2,
+            http1=self._http1,
             uds=self._uds,
             ssl_context=self._ssl_context,
             local_address=self._local_address,