diff --git a/arc4random.c b/arc4random.c
index 016cae66d9..02c892f96c 100644
--- a/arc4random.c
+++ b/arc4random.c
@@ -327,8 +327,9 @@ arc4_seed_urandom(void)
 		return arc4_seed_urandom_helper_(arc4random_urandom_filename);
 
 	for (i = 0; filenames[i]; ++i) {
-		if (arc4_seed_urandom_helper_(filenames[i]) == 0)
+		if (arc4_seed_urandom_helper_(filenames[i]) == 0) {
 			return 0;
+		}
 	}
 
 	return -1;
@@ -351,7 +352,8 @@ arc4_seed(void)
 		ok = 1;
 #endif
 #ifdef TRY_SEED_PROC_SYS_KERNEL_RANDOM_UUID
-	if (0 == arc4_seed_proc_sys_kernel_random_uuid())
+	if (arc4random_urandom_filename == NULL &&
+	    0 == arc4_seed_proc_sys_kernel_random_uuid())
 		ok = 1;
 #endif
 #ifdef TRY_SEED_SYSCTL_LINUX
diff --git a/include/event2/util.h b/include/event2/util.h
index 2a24566cb9..8ffc4a2e65 100644
--- a/include/event2/util.h
+++ b/include/event2/util.h
@@ -708,7 +708,8 @@ int evutil_secure_rng_init(void);
  * Set a filename to use in place of /dev/urandom for seeding the secure
  * PRNG. Return 0 on success, -1 on failure.
  *
- * Call this function BEFORE calling any other initialization or .
+ * Call this function BEFORE calling any other initialization or RNG
+ * functions.
  *
  * (This string will _NOT_ be copied internally. Do not free it while any
  * user of the secure RNG might be running. Don't pass anything other than a