Hi Jess,
This laptop is more than sufficient to drive the multifunction device you are looking at. These HP devices come with a cable that has a mini-Centronics connector on one end (to connect to the printer) and a standard 25-pin Male D-connector on the other end (for the computer).
The Dell laptop will have a standard 25-pin Female D-connector for a parallel port.
I'd suggest, as I always do, that you look on the HP site first before installing this device. They may have updated drivers available and may also have updated information available for this device (installation or operation information).
Regards,
Hilton