diff --git a/Cargo.toml b/Cargo.toml
index 0b4828315..e1f6687c7 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -21,8 +21,8 @@ bytesize = "1.0"
 cargo-platform = { path = "crates/cargo-platform", version = "0.1.2" }
 cargo-util = { path = "crates/cargo-util", version = "0.2.1" }
 crates-io = { path = "crates/crates-io", version = "0.34.0" }
-curl = { version = "0.4.43", features = ["http2"] }
-curl-sys = "0.4.55"
+curl = { version = "0.4.44", features = ["http2"] }
+curl-sys = "0.4.58"
 env_logger = "0.9.0"
 pretty_env_logger = { version = "0.4", optional = true }
 anyhow = "1.0"
diff --git a/src/cargo/ops/registry.rs b/src/cargo/ops/registry.rs
index ab4300b4f..30d7546cc 100644
--- a/src/cargo/ops/registry.rs
+++ b/src/cargo/ops/registry.rs
@@ -678,6 +678,24 @@ pub fn configure_http_handle(config: &Config, handle: &mut Easy) -> CargoResult<
                 handle.ssl_min_max_version(min_version, max_version)?;
             }
         }
+    } else if cfg!(windows) {
+        // This is a temporary workaround for some bugs with libcurl and
+        // schannel and TLS 1.3.
+        //
+        // Our libcurl on Windows is usually built with schannel.
+        // On Windows 11 (or Windows Server 2022), libcurl recently (late
+        // 2022) gained support for TLS 1.3 with schannel, and it now defaults
+        // to 1.3. Unfortunately there have been some bugs with this.
+        // https://github.com/curl/curl/issues/9431 is the most recent. Once
+        // that has been fixed, and some time has passed where we can be more
+        // confident that the 1.3 support won't cause issues, this can be
+        // removed.
+        //
+        // Windows 10 is unaffected. libcurl does not support TLS 1.3 on
+        // Windows 10. (Windows 10 sorta had support, but it required enabling
+        // an advanced option in the registry which was buggy, and libcurl
+        // does runtime checks to prevent it.)
+        handle.ssl_min_max_version(SslVersion::Default, SslVersion::Tlsv12)?;
     }
 
     if let Some(true) = http.debug {