diff --git a/autotests/integration/debug_console_test.cpp b/autotests/integration/debug_console_test.cpp
--- a/autotests/integration/debug_console_test.cpp
+++ b/autotests/integration/debug_console_test.cpp
@@ -521,6 +521,7 @@
     QVERIFY(c->isInternal());
     QCOMPARE(c->internalWindow(), console->windowHandle());
     QVERIFY(c->isDecorated());
+    QCOMPARE(c->isMinimizable(), false);
     c->closeWindow();
     QVERIFY(destroyedSpy.wait());
 }
diff --git a/shell_client.cpp b/shell_client.cpp
--- a/shell_client.cpp
+++ b/shell_client.cpp
@@ -582,6 +582,9 @@
 
 bool ShellClient::isMinimizable() const
 {
+    if (m_internal) {
+        return false;
+    }
     return (!m_plasmaShellSurface || m_plasmaShellSurface->role() == PlasmaShellSurfaceInterface::Role::Normal);
 }