I took the liberty of using Dmitry’s pattern and made a version without perforation.
Source Atle Mo
A monochrome pattern from a tile that can be had by selecting the rectangle in Inkscaope and using shift+alt+i
Source Firkin
Not a pattern for fabrics, but one produced from a jpg of a stack of fabric items that was posted on Pixabay. The tile that this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
From a drawing in 'Uit de geschiedenis der Heilige Stede te Amsterdam', Yohannes Sterck, 1898.
Source Firkin
Vector version of a png that was uploaded to Pixabay by pencilparker
Source Firkin
This one is super crisp at 2X. Lined paper with some dust and scratches.
Source HQvectors
Luxury pattern, looking like it came right out of Paris.
Source Daniel Beaton
Snap! It’s a pattern, and it’s not grayscale! Of course you can always change the color in Photoshop.
Source Atle Mo
Pixel by pixel, sharp and clean. Very light pattern with clear lines.
Source M.Ashok
Black And White Floral Pattern Background Inverse
Source GDJ
Beautiful dark noise pattern with some dust and grunge.
Source Vincent Klaiber
From a drawing in 'Resa i Afrika, genom Angola, Ovampo och Damaraland', P. Moller, 1899.
Source Firkin
Seamless pattern formed from a tile that can be extracted by selecting the rectangle in Inkscape and using shift-alt-i.
Source Firkin
Pattern that came out of playing with the 'slinky' plug-in for Paint.net
Source Firkin
The base gradient edited so now more details are rendered.
Source Lazur URH
Feel free to download this "Dark Wood" background texture for your web site. The background tiles seamlessly!
Source V. Hartikainen
This is a more minute version of "fishnet 01".The image depicts a seamless pattern of a fishnet with a plenty of fish.It may be a lucky charm for fishermen.
Source Yamachem
Sometimes you just need the simplest thing.
Source Fabricio
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin