diff --git a/lib/_tls_wrap.js b/lib/_tls_wrap.js
index 869bbda42f7898..9ecd92021de17f 100644
--- a/lib/_tls_wrap.js
+++ b/lib/_tls_wrap.js
@@ -689,7 +689,9 @@ TLSSocket.prototype._init = function(socket, wrap) {
     if (event !== 'keylog')
       return;
 
-    ssl.enableKeylogCallback();
+    // Guard against enableKeylogCallback after destroy
+    if (!this._handle) return;
+    this._handle.enableKeylogCallback();
 
     // Remove this listener since it's no longer needed.
     this.removeListener('newListener', keylogNewListener);
@@ -733,7 +735,9 @@ TLSSocket.prototype._init = function(socket, wrap) {
       if (event !== 'session')
         return;
 
-      ssl.enableSessionCallbacks();
+      // Guard against enableSessionCallbacks after destroy
+      if (!this._handle) return;
+      this._handle.enableSessionCallbacks();
 
       // Remove this listener since it's no longer needed.
       this.removeListener('newListener', newListener);
diff --git a/test/parallel/test-tls-tlswrap-segfault-2.js b/test/parallel/test-tls-tlswrap-segfault-2.js
new file mode 100644
index 00000000000000..baad4cb31d9411
--- /dev/null
+++ b/test/parallel/test-tls-tlswrap-segfault-2.js
@@ -0,0 +1,24 @@
+'use strict';
+const common = require('../common');
+if (!common.hasCrypto)
+  common.skip('missing crypto');
+
+// This test ensures that Node.js doesn't incur a segfault while
+// adding session or keylog listeners after destroy.
+// https://github.com/nodejs/node/issues/38133
+// https://github.com/nodejs/node/issues/38135
+
+const tls = require('tls');
+const tlsSocketKeyLog = tls.connect('cause-error');
+tlsSocketKeyLog.on('error', () => {
+  setTimeout(() => {
+    tlsSocketKeyLog.on('keylog', () => { });
+  }, 10);
+});
+
+const tlsSocketSession = tls.connect('cause-error-2');
+tlsSocketSession.on('error', (e) => {
+  setTimeout(() => {
+    tlsSocketSession.on('keylog', () => { });
+  }, 10);
+});