For Vista or later, the HP download page says, "Install the HP Printer Driver and Software provided within your operating system." The latest drivers HP has available for download for this printer are for XP. Please read web pages before you post a link. Here is the link to the HP drivers page for your printer.
You can always goto HP's website and download the driver there if it's not found in the Windows Update or list of printers.
If the issue persist then I would recommend you to download & install the driver from the manufacturer website which is given below to check if it helps.