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
Zero CC tileable Crackled Cement (streaks) texture, photographed and made by me. CC0
Source Sojan Janso
If you want png files of this u can download them here : viscious-speed.deviantart.com/gallery/27635117
Source Viscious-Speed
Prismatic Polka Dots 3 No Background
Source GDJ
Tweed is back in style – you heard it here first. Also, the @2X version here is great!
Source Simon Leo
Submitted as a black pattern, I made it light and a few steps more subtle.
Source Andy
Remixed from a drawing in 'Analecta Eboracensia', Thomas Widdrington, 1897.
Source Firkin
A seamless pale yellow paper background with a pattern of animal tracks.
Source V. Hartikainen
A nice and simple white rotated tile pattern.
Source Another One
From an image on opengameart.org shared by rubberduck.
Source Firkin
This one is amazing, truly original. Go use it!
Source Viahorizon
Background formed from the original with an emboss effect
Source GDJ
Used correctly, this could be nice. Used in a bad way, all hell will break loose.
Source Atle Mo
Never out of fashion and so much hotter than the 45º everyone knows, here is a sweet 60º line pattern.
Source Atle Mo
Remixed from a drawing in 'The Canadian horticulturist', 1892
Source Firkin
It was called Navy Blue, but I made it dark. You know, the way I like it.
Source Ethan Hamilton
From a drawing in 'Prose and Verse ', William Linton, 1836.
Source Firkin
To get the tile this is based on, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
Prismatic Abstract Geometric Background 2 No Black
Source GDJ
The classic 45-degree diagonal line pattern, done right.
Source Jorick van Hees
CC0 and a seamless pattern from a tile drawn in Paint.net .
Source SliverKnight
Detailed but still subtle and quite original. Lovely gray shades.
Source Kim Ruddock
It’s like Shine Dotted’s sister, only rotated 45 degrees.
Source mediumidee