diff --git a/crypto/rand/rand_lib.c b/crypto/rand/rand_lib.c
index 513e338985..adfec83b7b 100644
--- a/crypto/rand/rand_lib.c
+++ b/crypto/rand/rand_lib.c
@@ -154,6 +154,7 @@ void RAND_add(const void *buf, int num, double entropy)
 int RAND_bytes(unsigned char *buf, int num)
 	{
 	const RAND_METHOD *meth = RAND_get_rand_method();
+	memset(buf, 0, num);
 	if (meth && meth->bytes)
 		return meth->bytes(buf,num);
 	return(-1);
@@ -162,6 +163,7 @@ int RAND_bytes(unsigned char *buf, int num)
 int RAND_pseudo_bytes(unsigned char *buf, int num)
 	{
 	const RAND_METHOD *meth = RAND_get_rand_method();
+	memset(buf, 0, num);
 	if (meth && meth->pseudorand)
 		return meth->pseudorand(buf,num);
 	return(-1);