Do you need the to store the unique integer on the spreadsheet? If so, you might try putting a counter field elsewhere on the spreadsheet and using an Excel macro to generate it before you get to Access.
If you only need it within Access, maybe you could use an Append Query to copy the spreadsheet data to an Access table that has an Autonumber field as its key.
Just how unique do you need it to be? Does it only have to be unique within the spreadsheet you're currently linked to, or across all spreadsheets that you might ever link to, or what?
I think you're going to have to give some more information about how you're using this linked table. Rick Sprague