diff --git a/pyo3-macros-backend/src/method.rs b/pyo3-macros-backend/src/method.rs
index 034d079b..79d83f04 100644
--- a/pyo3-macros-backend/src/method.rs
+++ b/pyo3-macros-backend/src/method.rs
@@ -449,11 +449,13 @@ impl<'a> FnSpec<'a> {
         let func_name = &self.name;
 
         let rust_call = |args: Vec<TokenStream>| {
-            let mut call = quote! { function(#self_arg #(#args),*) };
-            if self.asyncness.is_some() {
-                call = quote! { _pyo3::impl_::coroutine::wrap_future(#call) };
-            }
-            quotes::map_result_into_ptr(quotes::ok_wrap(call))
+            let call = quote! { function(#self_arg #(#args),*) };
+            let wrapped_call = if self.asyncness.is_some() {
+                quote! { _pyo3::PyResult::Ok(_pyo3::impl_::wrap::wrap_future(#call)) }
+            } else {
+                quotes::ok_wrap(call)
+            };
+            quotes::map_result_into_ptr(wrapped_call)
         };
 
         let rust_name = if let Some(cls) = cls {
diff --git a/pyo3-macros-backend/src/pymethod.rs b/pyo3-macros-backend/src/pymethod.rs
index a8fd3b41..9c5f2601 100644
--- a/pyo3-macros-backend/src/pymethod.rs
+++ b/pyo3-macros-backend/src/pymethod.rs
@@ -458,7 +458,7 @@ fn impl_py_class_attribute(cls: &syn::Type, spec: &FnSpec<'_>) -> syn::Result<Me
     let associated_method = quote! {
         fn #wrapper_ident(py: _pyo3::Python<'_>) -> _pyo3::PyResult<_pyo3::PyObject> {
             let function = #cls::#name; // Shadow the method name to avoid #3017
-            #body
+            _pyo3::impl_::wrap::map_result_into_py(py, #body)
         }
     };
 
diff --git a/pyo3-macros-backend/src/quotes.rs b/pyo3-macros-backend/src/quotes.rs
index 966564b1..239036ef 100644
--- a/pyo3-macros-backend/src/quotes.rs
+++ b/pyo3-macros-backend/src/quotes.rs
@@ -9,13 +9,13 @@ pub(crate) fn some_wrap(obj: TokenStream) -> TokenStream {
 
 pub(crate) fn ok_wrap(obj: TokenStream) -> TokenStream {
     quote! {
-        _pyo3::impl_::wrap::OkWrap::wrap(#obj, py)
+        _pyo3::impl_::wrap::OkWrap::wrap(#obj)
             .map_err(::core::convert::Into::<_pyo3::PyErr>::into)
     }
 }
 
 pub(crate) fn map_result_into_ptr(result: TokenStream) -> TokenStream {
     quote! {
-        #result.map(_pyo3::PyObject::into_ptr)
+        _pyo3::impl_::wrap::map_result_into_ptr(py, #result)
     }
 }
diff --git a/src/impl_.rs b/src/impl_.rs
index 77f9ff4e..118d62d9 100644
--- a/src/impl_.rs
+++ b/src/impl_.rs
@@ -6,8 +6,6 @@
 //! APIs may may change at any time without documentation in the CHANGELOG and without
 //! breaking semver guarantees.
 
-#[cfg(feature = "macros")]
-pub mod coroutine;
 pub mod deprecations;
 pub mod extract_argument;
 pub mod freelist;
diff --git a/src/impl_/coroutine.rs b/src/impl_/coroutine.rs
deleted file mode 100644
index 843c42f1..00000000
--- a/src/impl_/coroutine.rs
+++ /dev/null
@@ -1,19 +0,0 @@
-use crate::coroutine::Coroutine;
-use crate::impl_::wrap::OkWrap;
-use crate::{IntoPy, PyErr, PyObject, Python};
-use std::future::Future;
-
-/// Used to wrap the result of async `#[pyfunction]` and `#[pymethods]`.
-pub fn wrap_future<F, R, T>(future: F) -> Coroutine
-where
-    F: Future<Output = R> + Send + 'static,
-    R: OkWrap<T>,
-    T: IntoPy<PyObject>,
-    PyErr: From<R::Error>,
-{
-    let future = async move {
-        // SAFETY: GIL is acquired when future is polled (see `Coroutine::poll`)
-        future.await.wrap(unsafe { Python::assume_gil_acquired() })
-    };
-    Coroutine::from_future(future)
-}
diff --git a/src/impl_/wrap.rs b/src/impl_/wrap.rs
index a73e3597..b41055b2 100644
--- a/src/impl_/wrap.rs
+++ b/src/impl_/wrap.rs
@@ -1,17 +1,19 @@
-use crate::{IntoPy, Py, PyAny, PyErr, PyObject, PyResult, Python};
+use std::convert::Infallible;
+
+use crate::{ffi, IntoPy, PyObject, PyResult, Python};
 
 /// Used to wrap values in `Option<T>` for default arguments.
 pub trait SomeWrap<T> {
-    fn wrap(self) -> T;
+    fn wrap(self) -> Option<T>;
 }
 
-impl<T> SomeWrap<Option<T>> for T {
+impl<T> SomeWrap<T> for T {
     fn wrap(self) -> Option<T> {
         Some(self)
     }
 }
 
-impl<T> SomeWrap<Option<T>> for Option<T> {
+impl<T> SomeWrap<T> for Option<T> {
     fn wrap(self) -> Self {
         self
     }
@@ -20,7 +22,7 @@ impl<T> SomeWrap<Option<T>> for Option<T> {
 /// Used to wrap the result of `#[pyfunction]` and `#[pymethods]`.
 pub trait OkWrap<T> {
     type Error;
-    fn wrap(self, py: Python<'_>) -> Result<Py<PyAny>, Self::Error>;
+    fn wrap(self) -> Result<T, Self::Error>;
 }
 
 // The T: IntoPy<PyObject> bound here is necessary to prevent the
@@ -29,9 +31,10 @@ impl<T> OkWrap<T> for T
 where
     T: IntoPy<PyObject>,
 {
-    type Error = PyErr;
-    fn wrap(self, py: Python<'_>) -> PyResult<Py<PyAny>> {
-        Ok(self.into_py(py))
+    type Error = Infallible;
+    #[inline]
+    fn wrap(self) -> Result<T, Infallible> {
+        Ok(self)
     }
 }
 
@@ -40,11 +43,44 @@ where
     T: IntoPy<PyObject>,
 {
     type Error = E;
-    fn wrap(self, py: Python<'_>) -> Result<Py<PyAny>, Self::Error> {
-        self.map(|o| o.into_py(py))
+    #[inline]
+    fn wrap(self) -> Result<T, Self::Error> {
+        self
     }
 }
 
+/// This is a follow-up function to `OkWrap::wrap` that converts the result into
+/// a `*mut ffi::PyObject` pointer.
+pub fn map_result_into_ptr<T: IntoPy<PyObject>>(
+    py: Python<'_>,
+    result: PyResult<T>,
+) -> PyResult<*mut ffi::PyObject> {
+    result.map(|obj| obj.into_py(py).into_ptr())
+}
+
+/// This is a follow-up function to `OkWrap::wrap` that converts the result into
+/// a safe wrapper.
+pub fn map_result_into_py<T: IntoPy<PyObject>>(
+    py: Python<'_>,
+    result: PyResult<T>,
+) -> PyResult<PyObject> {
+    result.map(|err| err.into_py(py))
+}
+
+/// Used to wrap the result of async `#[pyfunction]` and `#[pymethods]`.
+#[cfg(feature = "macros")]
+pub fn wrap_future<F, R, T>(future: F) -> crate::coroutine::Coroutine
+where
+    F: std::future::Future<Output = R> + Send + 'static,
+    R: OkWrap<T>,
+    T: IntoPy<PyObject>,
+    crate::PyErr: From<R::Error>,
+{
+    crate::coroutine::Coroutine::from_future::<_, T, crate::PyErr>(async move {
+        OkWrap::wrap(future.await).map_err(Into::into)
+    })
+}
+
 #[cfg(test)]
 mod tests {
     use super::*;
@@ -57,4 +93,16 @@ mod tests {
         let b: Option<u8> = SomeWrap::wrap(None);
         assert_eq!(b, None);
     }
+
+    #[test]
+    fn wrap_result() {
+        let a: Result<u8, _> = OkWrap::wrap(42u8);
+        assert!(matches!(a, Ok(42)));
+
+        let b: PyResult<u8> = OkWrap::wrap(Ok(42u8));
+        assert!(matches!(b, Ok(42)));
+
+        let c: Result<u8, &str> = OkWrap::wrap(Err("error"));
+        assert_eq!(c, Err("error"));
+    }
 }
diff --git a/tests/test_compile_error.rs b/tests/test_compile_error.rs
index 3919886f..3e01ad81 100644
--- a/tests/test_compile_error.rs
+++ b/tests/test_compile_error.rs
@@ -33,7 +33,7 @@ fn test_compile_errors() {
     t.compile_fail("tests/ui/invalid_pymethod_receiver.rs");
     t.compile_fail("tests/ui/missing_intopy.rs");
     // adding extra error conversion impls changes the output
-    #[cfg(all(target_os = "linux", not(any(feature = "eyre", feature = "anyhow"))))]
+    #[cfg(not(any(windows, feature = "eyre", feature = "anyhow")))]
     t.compile_fail("tests/ui/invalid_result_conversion.rs");
     t.compile_fail("tests/ui/not_send.rs");
     t.compile_fail("tests/ui/not_send2.rs");