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
Brushed aluminum, in a bright gray version. Lovely 2X as well.
Source Andre Schouten
From a drawing in 'Cowdray: the history of a great English House', Julia Roundell, 1884.
Source Firkin
A seamless pattern from a tile drawn in Paint.net and vectorised in Vector Magic
Source Firkin
A background pattern inspired by designs seen in 'Burghley. The Life of William Cecil', William Charlton, 1857.
Source Firkin
Very dark pattern with some noise and 45-degree lines.
Source Stefan Aleksić
Utilising a bird from s-light and some flowers from Almeidah. To get the unit tile, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
Fabric-ish patterns are close to my heart. French Stucco to the rescue.
Source Christopher Buecheler
Same as the black version, but now in shades of gray. Very subtle and fine grained.
Source Atle Mo
Floral patterns will never go out of style, so enjoy this one.
Source Lasma
You can never get enough of these tiny pixel patterns with sharp lines.
Source Designova
Some more diagonal lines and noise, because you know you want it.
Source Atle Mo
A free tileable background colored in off-white (antique white) color.
Source V. Hartikainen
You know I love paper patterns. Here is one from Stephen. Say thank you!
Source Stephen Gilbert
Sort of like the Photoshop transparent background, but better!
Source Alex Parker
If you’re sick of the fancy 3D, grunge and noisy patterns, take a look at this flat 2D brick wall.
Source Listvetra
This one is something special. I’d call it a flat pattern, too. Very well done, sir!
Source GetDiscount
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
A pattern drawn in Paint.net and vectorized in Vector Magic.
Source Firkin
This ons is quite old school looking. Retro, even. I like it.
Source Arno Declercq
Derived from an image that was uploaded to Pixabay by starchim01
Source Firkin
Small dots with minor circles spread across to form a nice mosaic.
Source John Burks
Semi-light fabric pattern made out of random pixels in shades of gray.
Source Atle Mo
White fabric looking texture with some nice random wave features.
Source Hendrik Lammers