diff --git a/.github/workflows/rust.yml b/.github/workflows/rust.yml
index de46941..7c02fa9 100644
--- a/.github/workflows/rust.yml
+++ b/.github/workflows/rust.yml
@@ -34,7 +34,7 @@ jobs:
       - uses: actions/checkout@v4
       - uses: dtolnay/rust-toolchain@master
         with:
-          toolchain: 1.63.0
+          toolchain: 1.64.0
       - run: cargo check --lib --all-features
 
   lint:
diff --git a/Cargo.toml b/Cargo.toml
index bebbf6e..feb792e 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -1,8 +1,8 @@
 [package]
 name = "instant-acme"
-version = "0.5.0"
+version = "0.6.0"
 edition = "2021"
-rust-version = "1.63"
+rust-version = "1.64"
 license = "Apache-2.0"
 description = "Async pure-Rust ACME client"
 homepage = "https://github.com/instant-labs/instant-acme"
@@ -16,8 +16,10 @@ default = ["hyper-rustls"]
 
 [dependencies]
 base64 = "0.21.0"
-hyper = { version = "0.14.18", features = ["client", "http1", "http2"] }
-hyper-rustls = { version = "0.24", default-features = false, features = ["http1", "http2", "native-tokio", "tls12"], optional = true }
+hyper = { version = "1.3.1", features = ["client", "http1", "http2"] }
+hyper-rustls = { version = "0.27", default-features = false, features = ["http1", "http2", "native-tokio", "tls12", "rustls-native-certs", "ring"], optional = true }
+hyper-util = { version = "0.1.5", features = ["client", "client-legacy", "http1", "http2", "tokio"]}
+http-body-util = "0.1.2"
 ring = { version = "0.17", features = ["std"] }
 rustls-pki-types = "1.1.0"
 serde = { version = "1.0.104", features = ["derive"] }
diff --git a/deny.toml b/deny.toml
index 0a8819d..a33d5ac 100644
--- a/deny.toml
+++ b/deny.toml
@@ -1,6 +1,6 @@
 [licenses]
 version = 2
-allow = ["Apache-2.0", "ISC", "MIT", "OpenSSL", "Unicode-DFS-2016"]
+allow = ["Apache-2.0", "BSD-3-Clause", "ISC", "MIT", "OpenSSL", "Unicode-DFS-2016"]
 
 [[licenses.clarify]]
 name = "ring"
diff --git a/src/lib.rs b/src/lib.rs
index 29b308f..2b7927b 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -9,11 +9,14 @@ use std::pin::Pin;
 use std::sync::Arc;
 
 use base64::prelude::{Engine, BASE64_URL_SAFE_NO_PAD};
-use hyper::client::connect::Connect;
-#[cfg(feature = "hyper-rustls")]
-use hyper::client::HttpConnector;
+use http_body_util::{BodyExt, Full};
+use hyper::body::{Bytes, Incoming};
 use hyper::header::{CONTENT_TYPE, LOCATION};
-use hyper::{Body, Method, Request, Response, StatusCode};
+use hyper::{Method, Request, Response, StatusCode};
+#[cfg(feature = "hyper-rustls")]
+use hyper_util::client::legacy::connect::{Connect, HttpConnector};
+use hyper_util::client::legacy::Client as HyperClient;
+use hyper_util::rt::TokioExecutor;
 use ring::digest::{digest, SHA256};
 use ring::rand::SystemRandom;
 use ring::signature::{EcdsaKeyPair, ECDSA_P256_SHA256_FIXED_SIGNING};
@@ -134,7 +137,11 @@ impl Order {
             .await?;
 
         self.nonce = nonce_from_response(&rsp);
-        let body = hyper::body::to_bytes(Problem::from_response(rsp).await?).await?;
+        let body = Problem::from_response(rsp)
+            .await?
+            .collect()
+            .await?
+            .to_bytes();
         Ok(Some(
             String::from_utf8(body.to_vec())
                 .map_err(|_| "unable to decode certificate as UTF-8")?,
@@ -206,7 +213,7 @@ impl Account {
     pub async fn from_credentials(credentials: AccountCredentials) -> Result<Self, Error> {
         Ok(Self {
             inner: Arc::new(
-                AccountInner::from_credentials(credentials, Box::<DefaultClient>::default())
+                AccountInner::from_credentials(credentials, Box::new(DefaultClient::try_new()?))
                     .await?,
             ),
         })
@@ -256,7 +263,7 @@ impl Account {
         Self::create_inner(
             account,
             external_account,
-            Client::new(server_url, Box::<DefaultClient>::default()).await?,
+            Client::new(server_url, Box::new(DefaultClient::try_new()?)).await?,
             server_url,
         )
         .await
@@ -419,7 +426,7 @@ impl AccountInner {
         payload: Option<&impl Serialize>,
         nonce: Option<String>,
         url: &str,
-    ) -> Result<Response<Body>, Error> {
+    ) -> Result<Response<Incoming>, Error> {
         self.client.post(payload, nonce, self, url).await
     }
 }
@@ -451,10 +458,10 @@ impl Client {
     async fn new(server_url: &str, http: Box<dyn HttpClient>) -> Result<Self, Error> {
         let req = Request::builder()
             .uri(server_url)
-            .body(Body::empty())
-            .unwrap();
+            .body(Full::default())
+            .expect("infallible error should not occur");
         let rsp = http.request(req).await?;
-        let body = hyper::body::to_bytes(rsp.into_body()).await?;
+        let body = rsp.into_body().collect().await?.to_bytes();
         Ok(Client {
             http,
             urls: serde_json::from_slice(&body)?,
@@ -467,17 +474,16 @@ impl Client {
         nonce: Option<String>,
         signer: &impl Signer,
         url: &str,
-    ) -> Result<Response<Body>, Error> {
+    ) -> Result<Response<Incoming>, Error> {
         let nonce = self.nonce(nonce).await?;
         let body = JoseJson::new(payload, signer.header(Some(&nonce), url), signer)?;
         let request = Request::builder()
             .method(Method::POST)
             .uri(url)
             .header(CONTENT_TYPE, JOSE_JSON)
-            .body(Body::from(serde_json::to_vec(&body)?))
-            .unwrap();
+            .body(Full::from(serde_json::to_vec(&body)?))?;
 
-        Ok(self.http.request(request).await?)
+        self.http.request(request).await
     }
 
     async fn nonce(&self, nonce: Option<String>) -> Result<String, Error> {
@@ -488,8 +494,8 @@ impl Client {
         let request = Request::builder()
             .method(Method::HEAD)
             .uri(&self.urls.new_nonce)
-            .body(Body::empty())
-            .unwrap();
+            .body(Full::default())
+            .expect("infallible error should not occur");
 
         let rsp = self.http.request(request).await?;
         // https://datatracker.ietf.org/doc/html/rfc8555#section-7.2
@@ -650,38 +656,40 @@ impl Signer for ExternalAccountKey {
     }
 }
 
-fn nonce_from_response(rsp: &Response<Body>) -> Option<String> {
+fn nonce_from_response(rsp: &Response<Incoming>) -> Option<String> {
     rsp.headers()
         .get(REPLAY_NONCE)
         .and_then(|hv| String::from_utf8(hv.as_ref().to_vec()).ok())
 }
 
 #[cfg(feature = "hyper-rustls")]
-struct DefaultClient(hyper::Client<hyper_rustls::HttpsConnector<HttpConnector>>);
-
-#[cfg(feature = "hyper-rustls")]
-impl HttpClient for DefaultClient {
-    fn request(
-        &self,
-        req: Request<Body>,
-    ) -> Pin<Box<dyn Future<Output = hyper::Result<Response<Body>>> + Send>> {
-        Box::pin(self.0.request(req))
-    }
-}
+struct DefaultClient(HyperClient<hyper_rustls::HttpsConnector<HttpConnector>, Full<Bytes>>);
 
 #[cfg(feature = "hyper-rustls")]
-impl Default for DefaultClient {
-    fn default() -> Self {
-        Self(
-            hyper::Client::builder().build(
+impl DefaultClient {
+    fn try_new() -> Result<Self, Error> {
+        Ok(Self(
+            HyperClient::builder(TokioExecutor::new()).build(
                 hyper_rustls::HttpsConnectorBuilder::new()
                     .with_native_roots()
+                    .map_err(|e| Error::Other(Box::new(e)))?
                     .https_only()
                     .enable_http1()
                     .enable_http2()
                     .build(),
             ),
-        )
+        ))
+    }
+}
+
+#[cfg(feature = "hyper-rustls")]
+impl HttpClient for DefaultClient {
+    fn request(
+        &self,
+        req: Request<Full<Bytes>>,
+    ) -> Pin<Box<dyn Future<Output = Result<Response<Incoming>, Error>> + Send>> {
+        let fut = self.0.request(req);
+        Box::pin(async move { fut.await.map_err(Error::from) })
     }
 }
 
@@ -690,19 +698,20 @@ pub trait HttpClient: Send + Sync + 'static {
     /// Send the given request and return the response
     fn request(
         &self,
-        req: Request<Body>,
-    ) -> Pin<Box<dyn Future<Output = hyper::Result<Response<Body>>> + Send>>;
+        req: Request<Full<Bytes>>,
+    ) -> Pin<Box<dyn Future<Output = Result<Response<Incoming>, Error>> + Send>>;
 }
 
-impl<C> HttpClient for hyper::Client<C>
+impl<C> HttpClient for HyperClient<C, Full<Bytes>>
 where
     C: Connect + Clone + Send + Sync + 'static,
 {
     fn request(
         &self,
-        req: Request<Body>,
-    ) -> Pin<Box<dyn Future<Output = hyper::Result<Response<Body>>> + Send>> {
-        Box::pin(<hyper::Client<C>>::request(self, req))
+        req: Request<Full<Bytes>>,
+    ) -> Pin<Box<dyn Future<Output = Result<Response<hyper::body::Incoming>, Error>> + Send>> {
+        let fut = <HyperClient<C, Full<Bytes>>>::request(self, req);
+        Box::pin(async move { fut.await.map_err(Error::from) })
     }
 }
 
diff --git a/src/types.rs b/src/types.rs
index dfd73dd..41da9b0 100644
--- a/src/types.rs
+++ b/src/types.rs
@@ -1,7 +1,9 @@
 use std::fmt;
 
 use base64::prelude::{Engine, BASE64_URL_SAFE_NO_PAD};
-use hyper::{Body, Response};
+use http_body_util::BodyExt;
+use hyper::body::Incoming;
+use hyper::Response;
 use ring::digest::{digest, Digest, SHA256};
 use ring::signature::{EcdsaKeyPair, KeyPair};
 use rustls_pki_types::CertificateDer;
@@ -27,15 +29,21 @@ pub enum Error {
     /// Failed to instantiate a private key
     #[error("invalid key bytes: {0}")]
     CryptoKey(#[from] ring::error::KeyRejected),
-    /// HTTP request failure
+    /// HTTP failure
     #[error("HTTP request failure: {0}")]
-    Http(#[from] hyper::Error),
+    Http(#[from] hyper::http::Error),
+    /// Hyper request failure
+    #[error("HTTP request failure: {0}")]
+    Hyper(#[from] hyper::Error),
     /// Invalid ACME server URL
     #[error("invalid URI: {0}")]
     InvalidUri(#[from] hyper::http::uri::InvalidUri),
     /// Failed to (de)serialize a JSON object
     #[error("failed to (de)serialize JSON: {0}")]
     Json(#[from] serde_json::Error),
+    /// Other kind of error
+    #[error(transparent)]
+    Other(Box<dyn std::error::Error + Send + Sync + 'static>),
     /// Miscellaneous errors
     #[error("missing data: {0}")]
     Str(&'static str),
@@ -47,6 +55,12 @@ impl From<&'static str> for Error {
     }
 }
 
+impl From<hyper_util::client::legacy::Error> for Error {
+    fn from(value: hyper_util::client::legacy::Error) -> Self {
+        Self::Other(Box::new(value))
+    }
+}
+
 /// ACME account credentials
 ///
 /// This opaque type contains the account ID, the private key data and the
@@ -119,20 +133,20 @@ pub struct Problem {
 }
 
 impl Problem {
-    pub(crate) async fn check<T: DeserializeOwned>(rsp: Response<Body>) -> Result<T, Error> {
+    pub(crate) async fn check<T: DeserializeOwned>(rsp: Response<Incoming>) -> Result<T, Error> {
         Ok(serde_json::from_slice(
-            &hyper::body::to_bytes(Self::from_response(rsp).await?).await?,
+            &Self::from_response(rsp).await?.collect().await?.to_bytes(),
         )?)
     }
 
-    pub(crate) async fn from_response(rsp: Response<Body>) -> Result<Body, Error> {
+    pub(crate) async fn from_response(rsp: Response<Incoming>) -> Result<Incoming, Error> {
         let status = rsp.status();
         let body = rsp.into_body();
         if status.is_informational() || status.is_success() || status.is_redirection() {
             return Ok(body);
         }
 
-        let body = hyper::body::to_bytes(body).await?;
+        let body = body.collect().await?.to_bytes();
         Err(serde_json::from_slice::<Problem>(&body)?.into())
     }
 }