diff --git a/src/uu/cksum/src/cksum.rs b/src/uu/cksum/src/cksum.rs
index 458177e8a..36dfbbe1e 100644
--- a/src/uu/cksum/src/cksum.rs
+++ b/src/uu/cksum/src/cksum.rs
@@ -168,8 +168,13 @@ where
         } else if filename.is_dir() {
             Box::new(BufReader::new(io::empty())) as Box<dyn Read>
         } else {
-            file_buf =
-                File::open(filename).map_err_context(|| filename.to_str().unwrap().to_string())?;
+            file_buf = match File::open(filename) {
+                Ok(file) => file,
+                Err(err) => {
+                    show!(err.map_err_context(|| filename.to_string_lossy().to_string()));
+                    continue;
+                }
+            };
             Box::new(file_buf) as Box<dyn Read>
         });
         let (sum, sz) = digest_read(&mut options.digest, &mut file, options.output_bits)
diff --git a/tests/by-util/test_cksum.rs b/tests/by-util/test_cksum.rs
index 80cfc7499..464de9474 100644
--- a/tests/by-util/test_cksum.rs
+++ b/tests/by-util/test_cksum.rs
@@ -80,6 +80,22 @@ fn test_nonexisting_file() {
         .stderr_contains(format!("cksum: {file_name}: No such file or directory"));
 }
 
+#[test]
+fn test_one_nonexisting_file() {
+    let (at, mut ucmd) = at_and_ucmd!();
+
+    at.touch("abc.txt");
+    at.touch("xyz.txt");
+
+    ucmd.arg("abc.txt")
+        .arg("asdf.txt")
+        .arg("xyz.txt")
+        .fails()
+        .stdout_contains_line("4294967295 0 xyz.txt")
+        .stderr_contains("asdf.txt: No such file or directory")
+        .stdout_contains_line("4294967295 0 abc.txt");
+}
+
 // Make sure crc is correct for files larger than 32 bytes
 // but <128 bytes (1 fold pclmul) // spell-checker:disable-line
 #[test]