diff --git a/library/std/src/process.rs b/library/std/src/process.rs
index 1def9fe0972025c901be03aa7ed6f75e3acf0d8c..c9595a96567fa9fca3348e95acbebb39c081005d 100644
--- a/library/std/src/process.rs
+++ b/library/std/src/process.rs
@@ -2161,7 +2161,9 @@ fn report(self) -> ExitCode {
 impl<E: fmt::Debug> Termination for Result<!, E> {
     fn report(self) -> ExitCode {
         let Err(err) = self;
-        eprintln!("Error: {err:?}");
+        // Ignore error if the write fails, for example because stderr is
+        // already closed. There is not much point panicking at this point.
+        let _ = writeln!(io::stderr(), "Error: {err:?}");
         ExitCode::FAILURE
     }
 }