diff --git a/test/parallel/test-crypto-dh-leak.js b/test/parallel/test-crypto-dh-leak.js
index 9ba8d29e155dc6..65486dbd80cb64 100644
--- a/test/parallel/test-crypto-dh-leak.js
+++ b/test/parallel/test-crypto-dh-leak.js
@@ -4,6 +4,8 @@
 const common = require('../common');
 if (!common.hasCrypto)
   common.skip('missing crypto');
+if (process.config.variables.asan)
+  common.skip('ASAN messes with memory measurements');
 
 const assert = require('assert');
 const crypto = require('crypto');
diff --git a/test/sequential/test-net-bytes-per-incoming-chunk-overhead.js b/test/sequential/test-net-bytes-per-incoming-chunk-overhead.js
index 46c1f6d1a5885c..c905c22d8afa78 100644
--- a/test/sequential/test-net-bytes-per-incoming-chunk-overhead.js
+++ b/test/sequential/test-net-bytes-per-incoming-chunk-overhead.js
@@ -2,6 +2,9 @@
 'use strict';
 
 const common = require('../common');
+if (process.config.variables.asan)
+  common.skip('ASAN messes with memory measurements');
+
 const assert = require('assert');
 const net = require('net');