diff --git a/src/connect.rs b/src/connect.rs
index 6296ed9..2a451fc 100644
--- a/src/connect.rs
+++ b/src/connect.rs
@@ -30,10 +30,15 @@ pub(crate) mod encryption {
     pub type MaybeTlsStream<S> = StreamSwitcher<S, TlsStream<S>>;
 
     pub type AutoStream<S> = MaybeTlsStream<S>;
+    #[cfg(feature = "tls")]
+    pub type Connector = async_tls::TlsConnector;
+    #[cfg(feature = "native-tls")]
+    pub type Connector = real_native_tls::TlsConnector;
 
     pub async fn wrap_stream<S>(
         socket: S,
         domain: String,
+        connector: Option<Connector>,
         mode: Mode,
     ) -> Result<AutoStream<S>, Error>
     where
@@ -44,13 +49,17 @@ pub(crate) mod encryption {
             Mode::Tls => {
                 #[cfg(feature = "tls")]
                 let stream = {
-                    let connector = AsyncTlsConnector::new();
+                    let connector = connector.unwrap_or_else(|| AsyncTlsConnector::new());
                     connector.connect(&domain, socket)?.await?
                 };
                 #[cfg(feature = "native-tls")]
                 let stream = {
-                    let builder = real_native_tls::TlsConnector::builder();
-                    let connector = builder.build()?;
+                    let connector = if let Some(connector) = connector {
+                        connector
+                    } else {
+                        let builder = real_native_tls::TlsConnector::builder();
+                        builder.build()?
+                    };
                     let connector = AsyncTlsConnector::from(connector);
                     connector.connect(&domain, socket).await?
                 };
@@ -59,23 +68,23 @@ pub(crate) mod encryption {
         }
     }
 }
-
 #[cfg(feature = "tls-base")]
 pub use self::encryption::MaybeTlsStream;
 
 #[cfg(not(feature = "tls-base"))]
 pub(crate) mod encryption {
     use futures::io::{AsyncRead, AsyncWrite};
-    use futures::{future, Future};
 
     use tungstenite::stream::Mode;
     use tungstenite::Error;
 
     pub type AutoStream<S> = S;
+    pub type Connector = ();
 
-    pub async fn wrap_stream<S>(
+    pub(crate) async fn wrap_stream<S>(
         socket: S,
         _domain: String,
+        _connector: Option<()>,
         mode: Mode,
     ) -> Result<AutoStream<S>, Error>
     where
@@ -88,7 +97,7 @@ pub(crate) mod encryption {
     }
 }
 
-use self::encryption::{wrap_stream, AutoStream};
+use self::encryption::AutoStream;
 
 /// Get a domain from an URL.
 #[inline]
@@ -105,6 +114,22 @@ pub async fn client_async_tls<R, S>(
     request: R,
     stream: S,
 ) -> Result<(WebSocketStream<AutoStream<S>>, Response), Error>
+where
+    R: Into<Request<'static>> + Unpin,
+    S: 'static + AsyncRead + AsyncWrite + Send + Unpin,
+    AutoStream<S>: Unpin,
+{
+    client_async_tls_with_connector(request, stream, None).await
+}
+
+/// Creates a WebSocket handshake from a request and a stream,
+/// upgrading the stream to TLS if required and using the given
+/// connector.
+pub async fn client_async_tls_with_connector<R, S>(
+    request: R,
+    stream: S,
+    connector: Option<self::encryption::Connector>,
+) -> Result<(WebSocketStream<AutoStream<S>>, Response), Error>
 where
     R: Into<Request<'static>> + Unpin,
     S: 'static + AsyncRead + AsyncWrite + Send + Unpin,
@@ -117,7 +142,7 @@ where
     // Make sure we check domain and mode first. URL must be valid.
     let mode = url_mode(&request.url)?;
 
-    let stream = wrap_stream(stream, domain, mode).await?;
+    let stream = self::encryption::wrap_stream(stream, domain, connector, mode).await?;
     client_async(request, stream).await
 }
 
@@ -145,7 +170,34 @@ pub(crate) mod async_std_runtime {
         let socket = try_socket.map_err(Error::Io)?;
         client_async_tls(request, socket).await
     }
+
+    #[cfg(any(feature = "tls", feature = "native-tls"))]
+    /// Connect to a given URL using the provided TLS connector.
+    pub async fn connect_async_with_tls_connector<R>(
+        request: R,
+        connector: Option<super::encryption::Connector>,
+    ) -> Result<(WebSocketStream<AutoStream<TcpStream>>, Response), Error>
+    where
+        R: Into<Request<'static>> + Unpin,
+    {
+        let request: Request = request.into();
+
+        let domain = domain(&request)?;
+        let port = request
+            .url
+            .port_or_known_default()
+            .expect("Bug: port unknown");
+
+        let try_socket = TcpStream::connect((domain.as_str(), port)).await;
+        let socket = try_socket.map_err(Error::Io)?;
+        client_async_tls_with_connector(request, socket, connector).await
+    }
 }
 
 #[cfg(feature = "async_std_runtime")]
 pub use async_std_runtime::connect_async;
+#[cfg(all(
+    feature = "async_std_runtime",
+    any(feature = "tls", feature = "native-tls")
+))]
+pub use async_std_runtime::connect_async_with_tls_connector;
diff --git a/src/lib.rs b/src/lib.rs
index 11b8290..e2fc399 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -46,8 +46,15 @@ use tungstenite::{
 
 #[cfg(feature = "connect")]
 pub use connect::client_async_tls;
+#[cfg(all(feature = "connect", any(feature = "tls", feature = "native-tls")))]
+pub use connect::client_async_tls_with_connector;
 #[cfg(feature = "async_std_runtime")]
 pub use connect::connect_async;
+#[cfg(all(
+    feature = "async_std_runtime",
+    any(feature = "tls", feature = "native-tls")
+))]
+pub use connect::connect_async_with_tls_connector;
 
 #[cfg(all(feature = "connect", feature = "tls-base"))]
 pub use connect::MaybeTlsStream;