diff --git a/src/coroutine.rs b/src/coroutine.rs
index 7dd73cbba10..fa12ab24d2c 100644
--- a/src/coroutine.rs
+++ b/src/coroutine.rs
@@ -13,6 +13,7 @@ use pyo3_macros::{pyclass, pymethods};
 use crate::{
     coroutine::{cancel::ThrowCallback, waker::AsyncioWaker},
     exceptions::{PyAttributeError, PyRuntimeError, PyStopIteration},
+    instance::Bound,
     panic::PanicException,
     types::{PyIterator, PyString},
     IntoPy, Py, PyAny, PyErr, PyObject, PyResult, Python,
@@ -107,7 +108,11 @@ impl Coroutine {
         if let Some(future) = self.waker.as_ref().unwrap().initialize_future(py)? {
             // `asyncio.Future` must be awaited; fortunately, it implements `__iter__ = __await__`
             // and will yield itself if its result has not been set in polling above
-            if let Some(future) = PyIterator::from_object(future).unwrap().next() {
+            if let Some(future) =
+                PyIterator::from_bound_object(Bound::borrowed_from_gil_ref(&future))
+                    .unwrap()
+                    .next()
+            {
                 // future has not been leaked into Python for now, and Rust code can only call
                 // `set_result(None)` in `Wake` implementation, so it's safe to unwrap
                 return Ok(future.unwrap().into());
diff --git a/src/types/any.rs b/src/types/any.rs
index 2e8a518fad4..dd22143bfec 100644
--- a/src/types/any.rs
+++ b/src/types/any.rs
@@ -2032,7 +2032,7 @@ impl<'py> PyAnyMethods<'py> for Bound<'py, PyAny> {
     }
 
     fn iter(&self) -> PyResult<Bound<'py, PyIterator>> {
-        PyIterator::from_object2(self)
+        PyIterator::from_bound_object(self)
     }
 
     fn get_type(&self) -> &'py PyType {
diff --git a/src/types/iterator.rs b/src/types/iterator.rs
index 0e033232964..144c8b7fd51 100644
--- a/src/types/iterator.rs
+++ b/src/types/iterator.rs
@@ -31,14 +31,19 @@ pyobject_native_type_named!(PyIterator);
 pyobject_native_type_extract!(PyIterator);
 
 impl PyIterator {
-    /// Constructs a `PyIterator` from a Python iterable object.
-    ///
-    /// Equivalent to Python's built-in `iter` function.
+    /// Deprecated form of `PyIterator::from_bound_object`.
+    #[deprecated(
+        since = "0.21.0",
+        note = "`PyIterator::from_object` will be replaced by `PyIterator::from_bound_object` in a future PyO3 version"
+    )]
     pub fn from_object(obj: &PyAny) -> PyResult<&PyIterator> {
-        Self::from_object2(Bound::borrowed_from_gil_ref(&obj)).map(Bound::into_gil_ref)
+        Self::from_bound_object(Bound::borrowed_from_gil_ref(&obj)).map(Bound::into_gil_ref)
     }
 
-    pub(crate) fn from_object2<'py>(obj: &Bound<'py, PyAny>) -> PyResult<Bound<'py, PyIterator>> {
+    /// Constructs a `PyIterator` from a Python iterable object.
+    ///
+    /// Equivalent to Python's built-in `iter` function.
+    pub fn from_bound_object<'py>(obj: &Bound<'py, PyAny>) -> PyResult<Bound<'py, PyIterator>> {
         unsafe {
             ffi::PyObject_GetIter(obj.as_ptr())
                 .assume_owned_or_err(obj.py())
@@ -240,6 +245,7 @@ def fibonacci(target):
     fn int_not_iterable() {
         Python::with_gil(|py| {
             let x = 5.to_object(py);
+            #[allow(deprecated)]
             let err = PyIterator::from_object(x.as_ref(py)).unwrap_err();
 
             assert!(err.is_instance_of::<PyTypeError>(py));