diff --git a/tokio/tests/io_take.rs b/tokio/tests/io_take.rs
index 539f17f3a2d..b08d54c2d8e 100644
--- a/tokio/tests/io_take.rs
+++ b/tokio/tests/io_take.rs
@@ -39,6 +39,14 @@ async fn issue_4435() {
     assert_eq!(&buf, &b"ABhell\0\0"[..]);
 }
 
+#[tokio::test]
+async fn issue_6070() {
+    // make sure it overflows usize on 32bit targets
+    let mut reader = tokio::io::repeat(0b101).take(u32::MAX as u64 + 1u64);
+    let copied = tokio::io::copy(&mut reader, &mut sink()).await.unwrap();
+    assert_eq!(copied, u32::MAX as u64 + 1u64);
+}
+
 struct BadReader {
     leaked_buffers: LeakedBuffers,
 }