Thanks for joining this thread, @NJPCIT.

Ideally any printer/scanner should work with QuickBooks Desktop Enterprise. 

As mentioned by my colleague @IamjuViel in her answer above, to test if your HP Officejet Pro 6960 has the TWAIN driver, I'd recommend manually running the Quickbook's TWAIN compatibility tool. This tool should give you a message if your all-in-one HP printer is compatible or not.

If you have any difficulty running the tool, you may contact our phone support team. To get their directory number, please follow the steps in this link: Contact the QuickBooks Desktop Customer Support Team.

Let me know if there's anything else you need. I'm still here to help you more. Have a good one.