diff --git a/packages/pg/test/integration/gh-issues/2085-tests.js b/packages/pg/test/integration/gh-issues/2085-tests.js
index 36f30c747..8ccdca150 100644
--- a/packages/pg/test/integration/gh-issues/2085-tests.js
+++ b/packages/pg/test/integration/gh-issues/2085-tests.js
@@ -7,9 +7,23 @@ var assert = require('assert')
 const suite = new helper.Suite()
 
 suite.testAsync('it should connect over ssl', async () => {
-  const client = new helper.pg.Client({ ssl: 'require'})
+  const ssl = helper.args.native ? 'require' : { 
+    rejectUnauthorized: false
+  }
+  const client = new helper.pg.Client({ ssl })
   await client.connect()
   const { rows } = await client.query('SELECT NOW()')
   assert.strictEqual(rows.length, 1)
   await client.end()
 })
+
+suite.testAsync('it should fail with self-signed cert error w/o rejectUnauthorized being passed', async () => {
+  const ssl = helper.args.native ? 'verify-ca' : { }
+  const client = new helper.pg.Client({ ssl })
+  try {
+    await client.connect()
+  } catch (e) {
+    return;
+  }
+  throw new Error('this test should have thrown an error due to self-signed cert')
+})