diff --git a/Cargo.lock b/Cargo.lock
index f3e5d77a..49082b6d 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -627,7 +627,6 @@ dependencies = [
  "humantime-serde",
  "hyper 1.1.0",
  "hyper-rustls",
- "hyper-tls 0.6.0",
  "hyper-util",
  "indicatif",
  "lazy_static",
@@ -1241,22 +1240,6 @@ dependencies = [
  "tokio-native-tls",
 ]
 
-[[package]]
-name = "hyper-tls"
-version = "0.6.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "70206fc6890eaca9fde8a0bf71caa2ddfc9fe045ac9e5c70df101a7dbde866e0"
-dependencies = [
- "bytes",
- "http-body-util",
- "hyper 1.1.0",
- "hyper-util",
- "native-tls",
- "tokio",
- "tokio-native-tls",
- "tower-service",
-]
-
 [[package]]
 name = "hyper-util"
 version = "0.1.2"
@@ -2357,7 +2340,7 @@ dependencies = [
  "http 0.2.11",
  "http-body 0.4.6",
  "hyper 0.14.28",
- "hyper-tls 0.5.0",
+ "hyper-tls",
  "ipnet",
  "js-sys",
  "log",
diff --git a/Cargo.toml b/Cargo.toml
index 30480c6b..8999bcf8 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -79,10 +79,9 @@ openssl = { version = "0.10", features = ["vendored"] }
 humantime-serde = "1.1.1"
 leaky-bucket = "1.0.1"
 hyper = { version = "1.1", features = ["full"] }
-hyper-util = { version = "0.1.2", features = ["client-legacy", "tokio", "server-auto", "http1"] }
-hyper-tls = "0.6.0"
+hyper-util = { version = "0.1.2", features = ["client", "client-legacy", "tokio", "server-auto", "http1", "http2"] }
 tokio-rustls = "0.25"
-hyper-rustls = "0.26"
+hyper-rustls = { version = "0.26", features = [ "http1", "http2", "logging" ] }
 http-body-util = "0.1.0"
 regex = "1.10.2"
 http-range-header = "0.4.0"
diff --git a/src/proxy/mod.rs b/src/proxy/mod.rs
index 8998b15c..6ab9cadc 100644
--- a/src/proxy/mod.rs
+++ b/src/proxy/mod.rs
@@ -40,7 +40,6 @@ use hyper::server::conn::http1;
 use hyper::service::service_fn;
 use hyper::upgrade::Upgraded;
 use hyper::{Method, Request};
-use hyper_tls::HttpsConnector;
 use hyper_util::{
     client::legacy::Client,
     rt::{tokio::TokioIo, TokioExecutor},
@@ -620,8 +619,16 @@ async fn proxy_http(request: Request<hyper::body::Incoming>) -> ClientResult<Res
 // proxy_https proxies the HTTPS request directly to the remote server.
 #[instrument(skip_all)]
 async fn proxy_https(request: Request<hyper::body::Incoming>) -> ClientResult<Response> {
-    let https = HttpsConnector::new();
-    let client = Client::builder(TokioExecutor::new()).build::<_, hyper::body::Incoming>(https);
+    let https = hyper_rustls::HttpsConnectorBuilder::new()
+        .with_native_roots()?
+        .https_or_http()
+        .enable_http1()
+        .enable_http2()
+        .build();
+
+    let client = Client::builder(TokioExecutor::new())
+        .http2_only(true)
+        .build::<_, hyper::body::Incoming>(https);
     let response = client.request(request).await?;
     Ok(response.map(|b| b.map_err(ClientError::from).boxed()))
 }