diff --git a/Cargo.toml b/Cargo.toml
index c6ddbd9..d513b5f 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -16,10 +16,17 @@ vendored = ["native-tls/vendored"]
 [dependencies]
 bytes = "1"
 native-tls = "0.2.1"
-hyper = { version = "0.14.2", default-features = false, features = ["tcp", "client"] }
+hyper = { version = "1.0.0-rc.4", default-features = false }
+hyper-util = { git = "https://github.com/hyperium/hyper-util", default-features = false, features = [
+    "client",
+], rev = "ced9f812460420017705fa7cae4dca7be9e23f4a" }
 tokio = "1"
 tokio-native-tls = "0.3"
+tower-service = "0.3"
+http-body-util = "0.1.0-rc.3"
 
 [dev-dependencies]
 tokio = { version = "1.0.0", features = ["io-std", "macros", "io-util"] }
-hyper = { version = "0.14.2", default-features = false, features = ["http1"] }
+hyper-util = { git = "https://github.com/hyperium/hyper-util", default-features = false, features = [
+    "http1",
+], rev = "ced9f812460420017705fa7cae4dca7be9e23f4a" }
diff --git a/examples/client.rs b/examples/client.rs
index 005a333..e74f2fe 100644
--- a/examples/client.rs
+++ b/examples/client.rs
@@ -1,20 +1,29 @@
-use hyper::{body::HttpBody as _, Client};
+use bytes::Bytes;
+use http_body_util::BodyExt;
+
+use http_body_util::Empty;
 use hyper_tls::HttpsConnector;
+use hyper_util::{client::legacy::Client, rt::TokioExecutor};
 use tokio::io::{self, AsyncWriteExt as _};
 
 #[tokio::main(flavor = "current_thread")]
 async fn main() -> Result<(), Box<dyn std::error::Error>> {
     let https = HttpsConnector::new();
-    let client = Client::builder().build::<_, hyper::Body>(https);
+
+    let client = Client::builder(TokioExecutor::new()).build::<_, Empty<Bytes>>(https);
 
     let mut res = client.get("https://hyper.rs".parse()?).await?;
 
     println!("Status: {}", res.status());
     println!("Headers:\n{:#?}", res.headers());
 
-    while let Some(chunk) = res.body_mut().data().await {
-        let chunk = chunk?;
-        io::stdout().write_all(&chunk).await?
+    while let Some(frame) = res.body_mut().frame().await {
+        let frame = frame?;
+
+        if let Some(d) = frame.data_ref() {
+            io::stdout().write_all(d).await?;
+        }
     }
+
     Ok(())
 }
diff --git a/src/client.rs b/src/client.rs
index fee1c99..34b578f 100644
--- a/src/client.rs
+++ b/src/client.rs
@@ -1,11 +1,14 @@
+use hyper::{
+    rt::{Read, Write},
+    Uri,
+};
+use hyper_util::{client::connect::HttpConnector, rt::TokioIo};
 use std::fmt;
 use std::future::Future;
 use std::pin::Pin;
 use std::task::{Context, Poll};
-
-use hyper::{client::connect::HttpConnector, service::Service, Uri};
-use tokio::io::{AsyncRead, AsyncWrite};
 use tokio_native_tls::TlsConnector;
+use tower_service::Service;
 
 use crate::stream::MaybeHttpsStream;
 
@@ -20,7 +23,7 @@ pub struct HttpsConnector<T> {
 }
 
 impl HttpsConnector<HttpConnector> {
-    /// Construct a new HttpsConnector.
+    /// Construct a new `HttpsConnector`.
     ///
     /// This uses hyper's default `HttpConnector`, and default `TlsConnector`.
     /// If you wish to use something besides the defaults, use `From::from`.
@@ -28,9 +31,9 @@ impl HttpsConnector<HttpConnector> {
     /// # Note
     ///
     /// By default this connector will use plain HTTP if the URL provided uses
-    /// the HTTP scheme (eg: http://example.com/).
+    /// the HTTP scheme (eg: <http://example.com/>).
     ///
-    /// If you would like to force the use of HTTPS then call https_only(true)
+    /// If you would like to force the use of HTTPS then call `https_only(true)`
     /// on the returned connector.
     ///
     /// # Panics
@@ -39,10 +42,12 @@ impl HttpsConnector<HttpConnector> {
     ///
     /// To handle that error yourself, you can use the `HttpsConnector::from`
     /// constructor after trying to make a `TlsConnector`.
+    #[must_use]
     pub fn new() -> Self {
-        native_tls::TlsConnector::new()
-            .map(|tls| HttpsConnector::new_(tls.into()))
-            .unwrap_or_else(|e| panic!("HttpsConnector::new() failure: {}", e))
+        native_tls::TlsConnector::new().map_or_else(
+            |e| panic!("HttpsConnector::new() failure: {}", e),
+            |tls| HttpsConnector::new_(tls.into()),
+        )
     }
 
     fn new_(tls: TlsConnector) -> Self {
@@ -68,15 +73,22 @@ impl<T> HttpsConnector<T> {
 
     /// With connector constructor
     ///
+    /// # Panics
+    ///
+    /// This will panic if the underlying TLS context could not be created.
+    ///
+    /// To handle that error yourself, you can use the `HttpsConnector::from`
+    /// constructor after trying to make a `TlsConnector`.
     pub fn new_with_connector(http: T) -> Self {
-        native_tls::TlsConnector::new()
-            .map(|tls| HttpsConnector::from((http, tls.into())))
-            .unwrap_or_else(|e| {
+        native_tls::TlsConnector::new().map_or_else(
+            |e| {
                 panic!(
                     "HttpsConnector::new_with_connector(<connector>) failure: {}",
                     e
                 )
-            })
+            },
+            |tls| HttpsConnector::from((http, tls.into())),
+        )
     }
 }
 
@@ -95,14 +107,14 @@ impl<T: fmt::Debug> fmt::Debug for HttpsConnector<T> {
         f.debug_struct("HttpsConnector")
             .field("force_https", &self.force_https)
             .field("http", &self.http)
-            .finish()
+            .finish_non_exhaustive()
     }
 }
 
 impl<T> Service<Uri> for HttpsConnector<T>
 where
     T: Service<Uri>,
-    T::Response: AsyncRead + AsyncWrite + Send + Unpin,
+    T::Response: Read + Write + Send + Unpin,
     T::Future: Send + 'static,
     T::Error: Into<BoxError>,
 {
@@ -131,11 +143,16 @@ where
             .trim_matches(|c| c == '[' || c == ']')
             .to_owned();
         let connecting = self.http.call(dst);
-        let tls = self.tls.clone();
+
+        let tls_connector = self.tls.clone();
+
         let fut = async move {
             let tcp = connecting.await.map_err(Into::into)?;
+
             let maybe = if is_https {
-                let tls = tls.connect(&host, tcp).await?;
+                let stream = TokioIo::new(tcp);
+
+                let tls = TokioIo::new(tls_connector.connect(&host, stream).await?);
                 MaybeHttpsStream::Https(tls)
             } else {
                 MaybeHttpsStream::Http(tcp)
@@ -155,7 +172,7 @@ type BoxedFut<T> = Pin<Box<dyn Future<Output = Result<MaybeHttpsStream<T>, BoxEr
 /// A Future representing work to connect to a URL, and a TLS handshake.
 pub struct HttpsConnecting<T>(BoxedFut<T>);
 
-impl<T: AsyncRead + AsyncWrite + Unpin> Future for HttpsConnecting<T> {
+impl<T: Read + Write + Unpin> Future for HttpsConnecting<T> {
     type Output = Result<MaybeHttpsStream<T>, BoxError>;
 
     fn poll(mut self: Pin<&mut Self>, cx: &mut Context<'_>) -> Poll<Self::Output> {
diff --git a/src/stream.rs b/src/stream.rs
index 4875410..fbd5097 100644
--- a/src/stream.rs
+++ b/src/stream.rs
@@ -4,8 +4,12 @@ use std::io::IoSlice;
 use std::pin::Pin;
 use std::task::{Context, Poll};
 
-use hyper::client::connect::{Connected, Connection};
-use tokio::io::{AsyncRead, AsyncWrite, ReadBuf};
+use hyper::rt::{Read, ReadBufCursor, Write};
+
+use hyper_util::{
+    client::connect::{Connected, Connection},
+    rt::TokioIo,
+};
 pub use tokio_native_tls::TlsStream;
 
 /// A stream that might be protected with TLS.
@@ -13,7 +17,7 @@ pub enum MaybeHttpsStream<T> {
     /// A stream over plain text.
     Http(T),
     /// A stream protected with TLS.
-    Https(TlsStream<T>),
+    Https(TokioIo<TlsStream<TokioIo<T>>>),
 }
 
 // ===== impl MaybeHttpsStream =====
@@ -33,18 +37,24 @@ impl<T> From<T> for MaybeHttpsStream<T> {
     }
 }
 
-impl<T> From<TlsStream<T>> for MaybeHttpsStream<T> {
-    fn from(inner: TlsStream<T>) -> Self {
+impl<T> From<TlsStream<TokioIo<T>>> for MaybeHttpsStream<T> {
+    fn from(inner: TlsStream<TokioIo<T>>) -> Self {
+        MaybeHttpsStream::Https(TokioIo::new(inner))
+    }
+}
+
+impl<T> From<TokioIo<TlsStream<TokioIo<T>>>> for MaybeHttpsStream<T> {
+    fn from(inner: TokioIo<TlsStream<TokioIo<T>>>) -> Self {
         MaybeHttpsStream::Https(inner)
     }
 }
 
-impl<T: AsyncRead + AsyncWrite + Unpin> AsyncRead for MaybeHttpsStream<T> {
+impl<T: Read + Write + Unpin> Read for MaybeHttpsStream<T> {
     #[inline]
     fn poll_read(
         self: Pin<&mut Self>,
         cx: &mut Context,
-        buf: &mut ReadBuf,
+        buf: ReadBufCursor<'_>,
     ) -> Poll<Result<(), io::Error>> {
         match Pin::get_mut(self) {
             MaybeHttpsStream::Http(s) => Pin::new(s).poll_read(cx, buf),
@@ -53,7 +63,7 @@ impl<T: AsyncRead + AsyncWrite + Unpin> AsyncRead for MaybeHttpsStream<T> {
     }
 }
 
-impl<T: AsyncWrite + AsyncRead + Unpin> AsyncWrite for MaybeHttpsStream<T> {
+impl<T: Write + Read + Unpin> Write for MaybeHttpsStream<T> {
     #[inline]
     fn poll_write(
         self: Pin<&mut Self>,
@@ -101,11 +111,13 @@ impl<T: AsyncWrite + AsyncRead + Unpin> AsyncWrite for MaybeHttpsStream<T> {
     }
 }
 
-impl<T: AsyncRead + AsyncWrite + Connection + Unpin> Connection for MaybeHttpsStream<T> {
+impl<T: Connection + Unpin> Connection for MaybeHttpsStream<T> {
     fn connected(&self) -> Connected {
         match self {
             MaybeHttpsStream::Http(s) => s.connected(),
-            MaybeHttpsStream::Https(s) => s.get_ref().get_ref().get_ref().connected(),
+            MaybeHttpsStream::Https(s) => {
+                s.inner().get_ref().get_ref().get_ref().inner().connected()
+            }
         }
     }
 }