diff --git a/compiler/rustc_codegen_ssa/src/back/rpath.rs b/compiler/rustc_codegen_ssa/src/back/rpath.rs
index 3114f1c38ae71..f499bbcf85339 100644
--- a/compiler/rustc_codegen_ssa/src/back/rpath.rs
+++ b/compiler/rustc_codegen_ssa/src/back/rpath.rs
@@ -85,6 +85,11 @@ fn get_rpath_relative_to_output(config: &RPathConfig<'_>, lib: &Path) -> OsStrin
     // Strip filenames
     let lib = lib.parent().unwrap();
     let output = config.out_filename.parent().unwrap();
+
+    // If output or lib is empty, just assume it locates in current path
+    let lib = if lib == Path::new("") { Path::new(".") } else { lib };
+    let output = if output == Path::new("") { Path::new(".") } else { output };
+
     let lib = try_canonicalize(lib).unwrap();
     let output = try_canonicalize(output).unwrap();
     let relative = path_relative_from(&lib, &output)
diff --git a/compiler/rustc_codegen_ssa/src/back/rpath/tests.rs b/compiler/rustc_codegen_ssa/src/back/rpath/tests.rs
index ac2e54072c416..0de90a1036ec5 100644
--- a/compiler/rustc_codegen_ssa/src/back/rpath/tests.rs
+++ b/compiler/rustc_codegen_ssa/src/back/rpath/tests.rs
@@ -57,6 +57,22 @@ fn test_rpath_relative() {
     }
 }
 
+#[test]
+fn test_rpath_relative_issue_119571() {
+    let config = &mut RPathConfig {
+        libs: &[],
+        out_filename: PathBuf::from("rustc"),
+        has_rpath: true,
+        is_like_osx: false,
+        linker_is_gnu: true,
+    };
+    // Should not panic when out_filename only contains filename.
+    // Issue 119571
+    let _ = get_rpath_relative_to_output(config, Path::new("lib/libstd.so"));
+    // Should not panic when lib only contains filename.
+    let _ = get_rpath_relative_to_output(config, Path::new("libstd.so"));
+}
+
 #[test]
 fn test_xlinker() {
     let args = rpaths_to_flags(vec!["a/normal/path".into(), "a,comma,path".into()]);