diff --git a/crypto/rand/rand_vms.c b/crypto/rand/rand_vms.c
index a00f83bcc4911..ce4f81164330d 100644
--- a/crypto/rand/rand_vms.c
+++ b/crypto/rand/rand_vms.c
@@ -479,31 +479,6 @@ size_t data_collect_method(RAND_POOL *pool)
     return rand_pool_entropy_available(pool);
 }
 
-int rand_pool_add_nonce_data(RAND_POOL *pool)
-{
-    struct {
-        pid_t pid;
-        CRYPTO_THREAD_ID tid;
-        unsigned __int64 time;
-    } data = { 0 };
-
-    /*
-     * Add process id, thread id, and a high resolution timestamp
-     * (where available, which is OpenVMS v8.4 and up) to ensure that
-     * the nonce is unique with high probability for different process
-     * instances.
-     */
-    data.pid = getpid();
-    data.tid = CRYPTO_THREAD_get_current_id();
-#if __CRTL_VER >= 80400000
-    sys$gettim_prec(&data.time);
-#else
-    sys$gettim((void*)&data.time);
-#endif
-
-    return rand_pool_add(pool, (unsigned char *)&data, sizeof(data), 0);
-}
-
 /*
  * SYS$GET_ENTROPY METHOD
  * ======================
@@ -577,6 +552,59 @@ size_t rand_pool_acquire_entropy(RAND_POOL *pool)
     return data_collect_method(pool);
 }
 
+int rand_pool_add_nonce_data(RAND_POOL *pool)
+{
+    /*
+     * Two variables to ensure that two nonces won't ever be the same
+     */
+    static unsigned __int64 last_time = 0;
+    static unsigned __int32 last_seq = 0;
+
+    struct {
+        pid_t pid;
+        CRYPTO_THREAD_ID tid;
+        unsigned __int64 time;
+        unsigned __int32 seq;
+    } data;
+
+    /* Erase the entire structure including any padding */
+    memset(&data, 0, sizeof(data));
+
+    /*
+     * Add process id, thread id, a timestamp, and a sequence number in case
+     * the same time stamp is repeated, to ensure that the nonce is unique
+     * with high probability for different process instances.
+     *
+     * The normal OpenVMS time is specified to be high granularity (100ns),
+     * but the time update granularity given by sys$gettim() may be lower.
+     *
+     * OpenVMS version 8.4 (which is the latest for Alpha and Itanium) and
+     * on have sys$gettim_prec() as well, which is supposedly having a better
+     * time update granularity, but tests on Itanium (and even Alpha) have
+     * shown that compared with sys$gettim(), the difference is marginal,
+     * so of very little significance in terms of entropy.
+     * Given that, and that it's a high ask to expect everyone to have
+     * upgraded to OpenVMS version 8.4, only sys$gettim() is used, and a
+     * sequence number is added as well, in case sys$gettim() returns the
+     * same time value more than once.
+     *
+     * This function is assumed to be called under thread lock, and does
+     * therefore not take concurrency into account.
+     */
+    data.pid = getpid();
+    data.tid = CRYPTO_THREAD_get_current_id();
+    data.seq = 0;
+    sys$gettim((void*)&data.time);
+
+    if (data.time == last_time) {
+        data.seq = ++last_seq;
+    } else {
+        last_time = data.time;
+        last_seq = 0;
+    }
+
+    return rand_pool_add(pool, (unsigned char *)&data, sizeof(data), 0);
+}
 
 int rand_pool_add_additional_data(RAND_POOL *pool)
 {
@@ -586,16 +614,12 @@ int rand_pool_add_additional_data(RAND_POOL *pool)
     } data = { 0 };
 
     /*
-     * Add some noise from the thread id and a high resolution timer.
-     * The thread id adds a little randomness if the drbg is accessed
-     * concurrently (which is the case for the <master> drbg).
+     * Add some noise from the thread id and a timer.  The thread id adds a
+     * little randomness if the drbg is accessed concurrently (which is the
+     * case for the <master> drbg).
      */
     data.tid = CRYPTO_THREAD_get_current_id();
-#if __CRTL_VER >= 80400000
-    sys$gettim_prec(&data.time);
-#else
     sys$gettim((void*)&data.time);
-#endif
 
     return rand_pool_add(pool, (unsigned char *)&data, sizeof(data), 0);
 }