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
A seamless pattern of "sewn stripes" colored in light gray.
Source V. Hartikainen
Prismatic Abstract Geometric Background 3
Source GDJ
Seamless , tileable CC-0 texture. Created by my own, feel free to use wherever you want!
Source Linolafett
Basket Fibers, Basket Texture, Braid Background style CC0 texture.
Source 1A-Photoshop
It’s like Shine Dotted’s sister, only rotated 45 degrees.
Source mediumidee
The unit cell for this seamless pattern can be had in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
Zero CC tileable ground (#2) cracked, crackled texture, made by me. CC0
Source Sojan Janso
Seamless pattern formed from a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i
Source Firkin
Pattern #100! A black classic knit-looking pattern.
Source Factorio.us Collective
An interesting dark spotted pattern at an angle.
Source Hendrik Lammers
Bigger is better, right? So here you have some large carbon fiber.
Source Factorio.us Collective
Use shift+alt+i on the selected rectangle in Inkscape to get the tile this is based on
Source Firkin
To get the tile this is based on, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
To get the tile this is made up from select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
I guess this is inspired by the city of Ravenna in Italy and its stone walls.
Source Sentel
This yellow background consists of a pattern of glossy gold buttons arranged in polka dot style on a seamless texture. Here's a pale yellow background pattern. Feel free to use it for your needs!
Source V. Hartikainen
Dark, square, clean and tidy. What more can you ask for?
Source Jaromír Kavan
From a drawing in 'Sun Pictures of the Norfolk Broads', Ernest Suffling, 1892.
Source Firkin
Sort of like the Photoshop transparent background, but better!
Source Alex Parker
This is a remix of "geometrical pattern 01".
Source Yamachem
Simple gray checkered lines, in light tones.
Source Radosław Rzepecki