diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 490869d..8674dfa 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -18,7 +18,7 @@ jobs:
         rust:
           - nightly
           # Check a ~3 months old nightly as "oldest supported version"
-          - nightly-2024-01-01
+          - nightly-2024-05-01
         # We want to run all of the above on Linux, macOS, windows-msvc, windows-gnu.
         # The semantics of combining `include` with other things in GHA are very strange
         # so this seems like the best way of doing that.
diff --git a/src/lib.rs b/src/lib.rs
index a9bef69..919b918 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -443,20 +443,31 @@ panic = 'unwind'
 
         // Prepare a workspace for cargo
         let build_dir = TempDir::new().context("failed to create tempdir")?;
+        // Cargo.lock
         let lock_file = build_dir.path().join("Cargo.lock");
-        let manifest_file = build_dir.path().join("Cargo.toml");
-        let lib_file = build_dir.path().join("lib.rs");
-        fs::copy(
-            src_dir
-                .parent()
-                .expect("src_dir must have a parent")
-                .join("Cargo.lock"),
-            &lock_file,
-        )
-        .context("failed to copy lockfile from sysroot source")?;
+        let lock_file_src = {
+            // Since <https://github.com/rust-lang/rust/pull/128534>, the lock file
+            // lives inside the src_dir.
+            let new_lock_file_name = src_dir.join("Cargo.lock");
+            if new_lock_file_name.exists() {
+                new_lock_file_name
+            } else {
+                // Previously, the lock file lived one folder up.
+                src_dir
+                    .parent()
+                    .expect("src_dir must have a parent")
+                    .join("Cargo.lock")
+            }
+        };
+        fs::copy(lock_file_src, &lock_file)
+            .context("failed to copy lockfile from sysroot source")?;
         make_writeable(&lock_file).context("failed to make lockfile writeable")?;
+        // Cargo.toml
+        let manifest_file = build_dir.path().join("Cargo.toml");
         let manifest = self.gen_manifest(src_dir);
         fs::write(&manifest_file, manifest.as_bytes()).context("failed to write manifest file")?;
+        // lib.rs
+        let lib_file = build_dir.path().join("lib.rs");
         let lib = match self.config {
             SysrootConfig::NoStd => r#"#![no_std]"#,
             SysrootConfig::WithStd { .. } => "",