diff --git a/HISTORY.rst b/HISTORY.rst
index 1d3b34a24..5cef298c0 100644
--- a/HISTORY.rst
+++ b/HISTORY.rst
@@ -9,7 +9,6 @@ XXXX-XX-XX
 
 - 1179_: [Linux] Process cmdline() now takes into account misbehaving processes
   renaming the command line and using inappropriate chars to separate args.
-- 1595_: [Windows] Process.kill() may not throw AccessDenied.
 - 1616_: use of Py_DECREF instead of Py_CLEAR will result in double free and
   segfault (CVE).  (patch by Riccardo Schirone)
 - 1619_: [OpenBSD] compilation fails due to C syntax error.  (patch by Nathan
diff --git a/psutil/_psutil_windows.c b/psutil/_psutil_windows.c
index be0b2337f..959919342 100644
--- a/psutil/_psutil_windows.c
+++ b/psutil/_psutil_windows.c
@@ -267,14 +267,7 @@ psutil_proc_kill(PyObject *self, PyObject *args) {
     if (! TerminateProcess(hProcess, SIGTERM)) {
         // ERROR_ACCESS_DENIED may happen if the process already died. See:
         // https://github.com/giampaolo/psutil/issues/1099
-        // https://github.com/giampaolo/psutil/issues/1595
-        if ((GetLastError() == ERROR_ACCESS_DENIED) && \
-                (psutil_pid_is_running(pid) == 0))
-        {
-            CloseHandle(hProcess);
-            Py_RETURN_NONE;
-        }
-        else {
+        if (GetLastError() != ERROR_ACCESS_DENIED) {
             PyErr_SetFromOSErrnoWithSyscall("TerminateProcess");
             goto error;
         }
@@ -282,10 +275,6 @@ psutil_proc_kill(PyObject *self, PyObject *args) {
 
     CloseHandle(hProcess);
     Py_RETURN_NONE;
-
-error:
-    CloseHandle(hProcess);
-    return NULL;
 }