Alternative colour scheme. 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
Medium gray pattern with small strokes to give a weave effect.
Source Catherine
Prismatic Geometric Tessellation Pattern No Background
Source GDJ
Drawn in Paint.net and vectorised in Vector Magic.
Source Firkin
A bit like smudged paint or some sort of steel, here is scribble light.
Source Tegan Male
From a drawing in 'Les Chroniqueurs de l'Histoire de France depuis les origines jusqu'au XVIe siècle', Henriette Witt, 1884.
Source Firkin
From a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
A seamless web background with texture of aged grid paper.
Source V. Hartikainen
Lovely pattern with some good-looking non-random noise lines.
Source Zucx
If you like it a bit trippy, this wave pattern might be for you.
Source Ian Soper
Prismatic Groovy Concentric Background No Black
Source GDJ
If you don’t like cream and pixels, you’re in the wrong place.
Source Mizanur Rahman
We have some linen patterns here, but none that are stressed. Until now.
Source Jordan Pittman
Based on several public domain drawings on Wikimedia Commons. This was formed from a rectangular tile. The tile can be accessed in Inkscape by selecting the rectangle and using shift-alt-i
Source Firkin
Small dots with minor circles spread across to form a nice mosaic.
Source John Burks
From a drawing in 'Studies for Stories', Jean Ingelow, 1864.
Source Firkin
One more updated pattern. Not really carbon fiber, but it’s the most popular pattern, so I’ll give you an extra choice.
Source Atle Mo
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
With a name this awesome, how can I go wrong?
Source Nikolay Boltachev
Retro Circles Background 4 No Black
Source GDJ
Based on several public domain drawings on Wikimedia Commons. This was formed from a rectangular tile. The tile can be accessed in Inkscape by selecting the rectangle and using shift-alt-i.
Source Firkin
The image is a remix of "edo pattern-samekomon".I changed the color of dots from black to white and added BG in light-brown.
Source Yamachem