Index: psutil/__init__.py
--- psutil/__init__.py.orig
+++ psutil/__init__.py
@@ -66,6 +66,7 @@ from ._common import OSX  # deprecated alias
 from ._common import POSIX  # NOQA
 from ._common import POWER_TIME_UNKNOWN
 from ._common import POWER_TIME_UNLIMITED
+from ._common import SECBSD  # NOQA
 from ._common import STATUS_DEAD
 from ._common import STATUS_DISK_SLEEP
 from ._common import STATUS_IDLE
@@ -170,7 +171,7 @@ __all__ = [
     "POWER_TIME_UNKNOWN", "POWER_TIME_UNLIMITED",
 
     "BSD", "FREEBSD", "LINUX", "NETBSD", "OPENBSD", "MACOS", "OSX", "POSIX",
-    "SUNOS", "WINDOWS", "AIX",
+    "SECBSD", "SUNOS", "WINDOWS", "AIX",
 
     # "RLIM_INFINITY", "RLIMIT_AS", "RLIMIT_CORE", "RLIMIT_CPU", "RLIMIT_DATA",
     # "RLIMIT_FSIZE", "RLIMIT_LOCKS", "RLIMIT_MEMLOCK", "RLIMIT_NOFILE",
@@ -1179,7 +1180,7 @@ class Process(object):
             try:
                 os.kill(self.pid, sig)
             except ProcessLookupError:
-                if OPENBSD and pid_exists(self.pid):
+                if OPENBSD or SECBSD and pid_exists(self.pid):
                     # We do this because os.kill() lies in case of
                     # zombie processes.
                     raise ZombieProcess(self.pid, self._name, self._ppid)