How do I save a pattern file to be sent to printers

Hi Guys,

I created a pattern via the pattern maker on illustrator which is now saved into my swatches.

How do I save this new pattern as a file to send to my printers which is going to be printed out as wallpaper?

My printers don't use illustrator so I can't just send them the ai file.

They asked for it to be sent as a tiff file but there doesn't seem to be that option in the drop down?

Any help would be appreciated!

Thank you!