diff --git a/newsfragments/2914.fixed.md b/newsfragments/2914.fixed.md
new file mode 100644
index 00000000..9ea78ee8
--- /dev/null
+++ b/newsfragments/2914.fixed.md
@@ -0,0 +1 @@
+Fix downcast to `PyIterator` succeeding for Python classes which did not implement `__next__`.
diff --git a/pyo3-ffi/src/abstract_.rs b/pyo3-ffi/src/abstract_.rs
index b8306ca9..6f954bc1 100644
--- a/pyo3-ffi/src/abstract_.rs
+++ b/pyo3-ffi/src/abstract_.rs
@@ -91,9 +91,12 @@ extern "C" {
     pub fn PyObject_GetIter(arg1: *mut PyObject) -> *mut PyObject;
 }
 
-// Defined as this macro in Python limited API, but relies on
-// non-limited PyTypeObject. Don't expose this since it cannot be used.
-#[cfg(not(any(Py_LIMITED_API, PyPy)))]
+// Before 3.8 PyIter_Check was defined in CPython as a macro,
+// which uses Py_TYPE so cannot work on the limited ABI.
+//
+// From 3.10 onwards CPython removed the macro completely,
+// so PyO3 only uses this on 3.7 unlimited API.
+#[cfg(not(any(Py_3_8, Py_LIMITED_API, PyPy)))]
 #[inline]
 pub unsafe fn PyIter_Check(o: *mut PyObject) -> c_int {
     (match (*crate::Py_TYPE(o)).tp_iternext {
@@ -105,7 +108,7 @@ pub unsafe fn PyIter_Check(o: *mut PyObject) -> c_int {
 }
 
 extern "C" {
-    #[cfg(any(all(Py_3_8, Py_LIMITED_API), PyPy))]
+    #[cfg(any(Py_3_8, PyPy))]
     #[cfg_attr(PyPy, link_name = "PyPyIter_Check")]
     pub fn PyIter_Check(obj: *mut PyObject) -> c_int;
 
diff --git a/src/types/iterator.rs b/src/types/iterator.rs
index 5b51c067..9d68ca4f 100644
--- a/src/types/iterator.rs
+++ b/src/types/iterator.rs
@@ -248,4 +248,78 @@ def fibonacci(target):
             assert_eq!(iter_ref.get_refcnt(), 2);
         })
     }
+
+    #[test]
+    #[cfg(any(not(Py_LIMITED_API), Py_3_8))]
+    #[cfg(feature = "macros")]
+    fn python_class_not_iterator() {
+        use crate::PyErr;
+
+        #[crate::pyclass(crate = "crate")]
+        struct Downcaster {
+            failed: Option<PyErr>,
+        }
+
+        #[crate::pymethods(crate = "crate")]
+        impl Downcaster {
+            fn downcast_iterator(&mut self, obj: &PyAny) {
+                self.failed = Some(obj.downcast::<PyIterator>().unwrap_err().into());
+            }
+        }
+
+        // Regression test for 2913
+        Python::with_gil(|py| {
+            let downcaster = Py::new(py, Downcaster { failed: None }).unwrap();
+            crate::py_run!(
+                py,
+                downcaster,
+                r#"
+                    from collections.abc import Sequence
+
+                    class MySequence(Sequence):
+                        def __init__(self):
+                            self._data = [1, 2, 3]
+
+                        def __getitem__(self, index):
+                            return self._data[index]
+
+                        def __len__(self):
+                            return len(self._data)
+
+                    downcaster.downcast_iterator(MySequence())
+                "#
+            );
+
+            assert_eq!(
+                downcaster.borrow_mut(py).failed.take().unwrap().to_string(),
+                "TypeError: 'MySequence' object cannot be converted to 'Iterator'"
+            );
+        });
+    }
+
+    #[test]
+    #[cfg(any(not(Py_LIMITED_API), Py_3_8))]
+    #[cfg(feature = "macros")]
+    fn python_class_iterator() {
+        #[crate::pyfunction(crate = "crate")]
+        fn assert_iterator(obj: &PyAny) {
+            assert!(obj.downcast::<PyIterator>().is_ok())
+        }
+
+        // Regression test for 2913
+        Python::with_gil(|py| {
+            let assert_iterator = crate::wrap_pyfunction!(assert_iterator, py).unwrap();
+            crate::py_run!(
+                py,
+                assert_iterator,
+                r#"
+                    class MyIter:
+                        def __next__(self):
+                            raise StopIteration
+
+                    assert_iterator(MyIter())
+                "#
+            );
+        });
+    }
 }