diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 6dfe756d635..e10e1fc1491 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -76,7 +76,16 @@ jobs:
       fail-fast: false # If one platform fails, allow the rest to keep testing.
       matrix:
         rust: [stable]
-        python-version: ["3.7", "3.8", "3.9", "3.10", "3.11-dev", "pypy-3.7", "pypy-3.8"]
+        python-version: [
+          "3.7",
+          "3.8",
+          "3.9",
+          "3.10",
+          "3.11-dev",
+          "pypy-3.7",
+          "pypy-3.8",
+          "pypy-3.9-v7.3.8rc1"
+        ]
         platform:
           [
             {
diff --git a/pyo3-ffi/src/cpython/abstract_.rs b/pyo3-ffi/src/cpython/abstract_.rs
index a7383c2fc0c..240e30f04c2 100644
--- a/pyo3-ffi/src/cpython/abstract_.rs
+++ b/pyo3-ffi/src/cpython/abstract_.rs
@@ -6,7 +6,7 @@ use crate::{
     pyport::PY_SSIZE_T_MAX, vectorcallfunc, PyCallable_Check, PyThreadState, PyThreadState_GET,
     PyTuple_Check, PyType_HasFeature, Py_TPFLAGS_HAVE_VECTORCALL,
 };
-#[cfg(all(Py_3_8, not(PyPy)))]
+#[cfg(Py_3_8)]
 use libc::size_t;
 
 extern "C" {
@@ -98,17 +98,29 @@ pub unsafe fn PyObject_Vectorcall(
 }
 
 extern "C" {
-    #[cfg(all(Py_3_8, not(PyPy)))]
-    #[cfg_attr(not(Py_3_9), link_name = "_PyObject_VectorcallDict")]
+    #[cfg(all(PyPy, Py_3_8))]
+    #[cfg_attr(not(Py_3_9), link_name = "_PyPyObject_Vectorcall")]
+    pub fn PyObject_Vectorcall(
+        callable: *mut PyObject,
+        args: *const *mut PyObject,
+        nargsf: size_t,
+        kwnames: *mut PyObject,
+    ) -> *mut PyObject;
+
+    #[cfg(all(Py_3_8))]
+    #[cfg_attr(all(not(PyPy), not(Py_3_9)), link_name = "_PyObject_VectorcallDict")]
+    #[cfg_attr(all(PyPy, not(Py_3_9)), link_name = "_PyPyObject_VectorcallDict")]
+    #[cfg_attr(all(PyPy, Py_3_9), link_name = "PyPyObject_VectorcallDict")]
     pub fn PyObject_VectorcallDict(
         callable: *mut PyObject,
         args: *const *mut PyObject,
         nargsf: size_t,
-        kwargs: *mut PyObject,
+        kwdict: *mut PyObject,
     ) -> *mut PyObject;
 
-    #[cfg(all(Py_3_8, not(PyPy)))]
-    #[cfg_attr(not(Py_3_9), link_name = "_PyVectorcall_Call")]
+    #[cfg(all(Py_3_8))]
+    #[cfg_attr(not(any(Py_3_9, PyPy)), link_name = "_PyVectorcall_Call")]
+    #[cfg_attr(PyPy, link_name = "PyPyVectorcall_Call")]
     pub fn PyVectorcall_Call(
         callable: *mut PyObject,
         tuple: *mut PyObject,
@@ -149,6 +161,12 @@ pub unsafe fn _PyObject_CallNoArg(func: *mut PyObject) -> *mut PyObject {
     )
 }
 
+extern "C" {
+    #[cfg(PyPy)]
+    #[link_name = "_PyPyObject_CallNoArg"]
+    pub fn _PyObject_CallNoArg(func: *mut PyObject) -> *mut PyObject;
+}
+
 #[cfg(all(Py_3_8, not(PyPy)))]
 #[inline(always)]
 pub unsafe fn PyObject_CallOneArg(func: *mut PyObject, arg: *mut PyObject) -> *mut PyObject {