diff --git a/Lib/ssl.py b/Lib/ssl.py
index 3b667ff01ae..8c75f009c83 100644
--- a/Lib/ssl.py
+++ b/Lib/ssl.py
@@ -106,7 +106,12 @@ from _ssl import CERT_NONE, CERT_OPTIONAL, CERT_REQUIRED
 from _ssl import (VERIFY_DEFAULT, VERIFY_CRL_CHECK_LEAF, VERIFY_CRL_CHECK_CHAIN,
     VERIFY_X509_STRICT)
 from _ssl import txt2obj as _txt2obj, nid2obj as _nid2obj
-from _ssl import RAND_status, RAND_egd, RAND_add, RAND_bytes, RAND_pseudo_bytes
+from _ssl import RAND_status, RAND_add, RAND_bytes, RAND_pseudo_bytes
+try:
+    from _ssl import RAND_egd
+except ImportError:
+    # LibreSSL does not provide RAND_egd
+    pass
 
 def _import_symbols(prefix):
     for n in dir(_ssl):
diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index 9885eaebcaa..0a7b905073c 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -154,8 +154,9 @@ class BasicSocketTests(unittest.TestCase):
         self.assertRaises(ValueError, ssl.RAND_bytes, -5)
         self.assertRaises(ValueError, ssl.RAND_pseudo_bytes, -5)
 
-        self.assertRaises(TypeError, ssl.RAND_egd, 1)
-        self.assertRaises(TypeError, ssl.RAND_egd, 'foo', 1)
+        if hasattr(ssl, 'RAND_egd'):
+            self.assertRaises(TypeError, ssl.RAND_egd, 1)
+            self.assertRaises(TypeError, ssl.RAND_egd, 'foo', 1)
         ssl.RAND_add("this is a random string", 75.0)
 
     @unittest.skipUnless(os.name == 'posix', 'requires posix')
diff --git a/Misc/NEWS b/Misc/NEWS
index 79cb8ee75bc..80bfdacf2d6 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -44,6 +44,10 @@ Core and Builtins
 Library
 -------
 
+- Issue #21356: Make ssl.RAND_egd() optional to support LibreSSL. The
+  availability of the function is checked during the compilation. Patch written
+  by Bernard Spil.
+
 - Issue #20896, #22935: The :func:`ssl.get_server_certificate` function now
   uses the :data:`~ssl.PROTOCOL_SSLv23` protocol by default, not
   :data:`~ssl.PROTOCOL_SSLv3`, for maximum compatibility and support platforms
diff --git a/Modules/_ssl.c b/Modules/_ssl.c
index 17beaf85dc0..914d5aa6fa5 100644
--- a/Modules/_ssl.c
+++ b/Modules/_ssl.c
@@ -3335,6 +3335,7 @@ Returns 1 if the OpenSSL PRNG has been seeded with enough data and 0 if not.\n\
 It is necessary to seed the PRNG with RAND_add() on some platforms before\n\
 using the ssl() function.");
 
+#ifdef HAVE_RAND_EGD
 static PyObject *
 PySSL_RAND_egd(PyObject *self, PyObject *args)
 {
@@ -3362,6 +3363,7 @@ PyDoc_STRVAR(PySSL_RAND_egd_doc,
 Queries the entropy gather daemon (EGD) on the socket named by 'path'.\n\
 Returns number of bytes read.  Raises SSLError if connection to EGD\n\
 fails or if it does not provide enough data to seed PRNG.");
+#endif /* HAVE_RAND_EGD */
 
 #endif /* HAVE_OPENSSL_RAND */
 
@@ -3757,8 +3759,10 @@ static PyMethodDef PySSL_methods[] = {
      PySSL_RAND_bytes_doc},
     {"RAND_pseudo_bytes",   PySSL_RAND_pseudo_bytes, METH_VARARGS,
      PySSL_RAND_pseudo_bytes_doc},
+#ifdef HAVE_RAND_EGD
     {"RAND_egd",            PySSL_RAND_egd, METH_VARARGS,
      PySSL_RAND_egd_doc},
+#endif
     {"RAND_status",         (PyCFunction)PySSL_RAND_status, METH_NOARGS,
      PySSL_RAND_status_doc},
 #endif
diff --git a/configure b/configure
index 79e937695fb..274af7e0443 100755
--- a/configure
+++ b/configure
@@ -8913,6 +8913,48 @@ _ACEOF
 
 fi
 	# Dynamic linking for HP-UX
+{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for RAND_egd in -lcrypto" >&5
+$as_echo_n "checking for RAND_egd in -lcrypto... " >&6; }
+if ${ac_cv_lib_crypto_RAND_egd+:} false; then :
+  $as_echo_n "(cached) " >&6
+else
+  ac_check_lib_save_LIBS=$LIBS
+LIBS="-lcrypto  $LIBS"
+cat confdefs.h - <<_ACEOF >conftest.$ac_ext
+/* end confdefs.h.  */
+
+/* Override any GCC internal prototype to avoid an error.
+   Use char because int might match the return type of a GCC
+   builtin and then its argument prototype would still apply.  */
+#ifdef __cplusplus
+extern "C"
+#endif
+char RAND_egd ();
+int
+main ()
+{
+return RAND_egd ();
+  ;
+  return 0;
+}
+_ACEOF
+if ac_fn_c_try_link "$LINENO"; then :
+  ac_cv_lib_crypto_RAND_egd=yes
+else
+  ac_cv_lib_crypto_RAND_egd=no
+fi
+rm -f core conftest.err conftest.$ac_objext \
+    conftest$ac_exeext conftest.$ac_ext
+LIBS=$ac_check_lib_save_LIBS
+fi
+{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_crypto_RAND_egd" >&5
+$as_echo "$ac_cv_lib_crypto_RAND_egd" >&6; }
+if test "x$ac_cv_lib_crypto_RAND_egd" = xyes; then :
+
+$as_echo "#define HAVE_RAND_EGD 1" >>confdefs.h
+
+fi
+
 
 # only check for sem_init if thread support is requested
 if test "$with_threads" = "yes" -o -z "$with_threads"; then
diff --git a/configure.ac b/configure.ac
index 21f4152b4b7..a0d0afa7b1a 100644
--- a/configure.ac
+++ b/configure.ac
@@ -2238,6 +2238,9 @@ AC_MSG_RESULT($SHLIBS)
 AC_CHECK_LIB(sendfile, sendfile)
 AC_CHECK_LIB(dl, dlopen)	# Dynamic linking for SunOS/Solaris and SYSV
 AC_CHECK_LIB(dld, shl_load)	# Dynamic linking for HP-UX
+AC_CHECK_LIB(crypto, RAND_egd,
+             AC_DEFINE(HAVE_RAND_EGD, 1,
+             [Define if the libcrypto has RAND_egd]))
 
 # only check for sem_init if thread support is requested
 if test "$with_threads" = "yes" -o -z "$with_threads"; then
diff --git a/pyconfig.h.in b/pyconfig.h.in
index b3a3e176691..85490c83512 100644
--- a/pyconfig.h.in
+++ b/pyconfig.h.in
@@ -675,6 +675,9 @@
 /* Define to 1 if you have the `pwrite' function. */
 #undef HAVE_PWRITE
 
+/* Define if the libcrypto has RAND_egd */
+#undef HAVE_RAND_EGD
+
 /* Define to 1 if you have the `readlink' function. */
 #undef HAVE_READLINK