Not even 1kb, but very stylish. Gray thin lines.
Source Struck Axiom
To get the tile this is based on select the rectangle in Inkscape and use shift-alt-i
Source Firkin
From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
This background pattern looks like bamboo to me. Feel free to download it for your website (for your blog perhaps?).
Source V. Hartikainen
The file was named striped lens, but hey – Translucent Fibres works too.
Source Angelica
It has waves, so make sure you don’t get sea sickness.
Source CoolPatterns
Seamless tile drawn in Paint.net and vectorised in Vector Magic.
Source Firkin
Medium gray pattern with small strokes to give a weave effect.
Source Catherine
Derived from elements found in a floral ornament drawing on Pixabay.
Source Firkin
Prismatic Curved Diamond Pattern No Background
Source GDJ
Vector version of a JPG that was uploaded to Pixabay by theasad121
Source Firkin
Colorful Floral Background No Black
Source GDJ
Simple combination of stripy squares with their negatively coloured counterparts
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
Retro Circles Background 4 No Black
Source GDJ
Tiny little fibers making a soft and sweet look.
Source Badhon Ebrahim
From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
Prismatic Curved Diamond Pattern 7 No Background
Source GDJ
Greyscale version of a pattern that came out of playing with the 'light rays' plug-in for Paint.net
Source Firkin
Kaleidoscope Prismatic Abstract No Background
Source GDJ
From a drawing in 'The Quiver of Love', Walter Crane, 1876
Source Firkin
A set of paper filters. The base texture is generated the same way, only the compositing mode is varied.
Source Lazur URH