diff --git a/lib/core/connect.js b/lib/core/connect.js
index 4ad2c91d2cb..b388f022298 100644
--- a/lib/core/connect.js
+++ b/lib/core/connect.js
@@ -73,7 +73,7 @@ if (global.FinalizationRegistry && !(process.env.NODE_V8_COVERAGE || process.env
   }
 }
 
-function buildConnector ({ allowH2, maxCachedSessions, socketPath, timeout, ...opts }) {
+function buildConnector ({ allowH2, maxCachedSessions, socketPath, timeout, session: customSession, ...opts }) {
   if (maxCachedSessions != null && (!Number.isInteger(maxCachedSessions) || maxCachedSessions < 0)) {
     throw new InvalidArgumentError('maxCachedSessions must be a positive integer or zero')
   }
@@ -91,7 +91,7 @@ function buildConnector ({ allowH2, maxCachedSessions, socketPath, timeout, ...o
       servername = servername || options.servername || util.getServerName(host) || null
 
       const sessionKey = servername || hostname
-      const session = sessionCache.get(sessionKey) || null
+      const session = customSession || sessionCache.get(sessionKey) || null
 
       assert(sessionKey)
 
diff --git a/test/connect-pre-shared-session.js b/test/connect-pre-shared-session.js
new file mode 100644
index 00000000000..5ee7b308885
--- /dev/null
+++ b/test/connect-pre-shared-session.js
@@ -0,0 +1,50 @@
+'use strict'
+
+const { tspl } = require('@matteo.collina/tspl')
+const { test, after, mock } = require('node:test')
+const { Client } = require('..')
+const { createServer } = require('node:https')
+const pem = require('https-pem')
+const tls = require('node:tls')
+
+test('custom session passed to client will be used in tls connect call', async (t) => {
+  t = tspl(t, { plan: 4 })
+
+  const mockConnect = mock.method(tls, 'connect')
+
+  const server = createServer(pem, (req, res) => {
+    t.strictEqual('/', req.url)
+    t.strictEqual('GET', req.method)
+    res.setHeader('content-type', 'text/plain')
+    res.end('hello')
+  })
+  after(() => server.close())
+
+  server.listen(0, async () => {
+    const session = Buffer.from('test-session')
+
+    const client = new Client(`https://localhost:${server.address().port}`, {
+      connect: {
+        rejectUnauthorized: false,
+        session
+      }
+    })
+    after(() => client.close())
+
+    const { statusCode, headers, body } = await client.request({
+      path: '/',
+      method: 'GET'
+    })
+
+    t.strictEqual(statusCode, 200)
+    t.strictEqual(headers['content-type'], 'text/plain')
+
+    const responseText = await body.text()
+    t.strictEqual('hello', responseText)
+
+    const connectSession = mockConnect.mock.calls[0].arguments[0].session
+    t.strictEqual(connectSession, session)
+  })
+
+  await t.completed
+})