Not even 1kb, but very stylish. Gray thin lines.
Source Struck Axiom
Inspired by an image that was uploaded to Pixabay by geralt
Source Firkin
Seamless pattern formed from a tile that can be had by selecting the rectangle in Inkscape and using shift-alt-i.
Source Firkin
From a drawing in 'Royal Ramsgate', James Simson, 1897.
Source Firkin
Sharp pixel pattern, just like the good old days.
Source Paridhi
White fabric looking texture with some nice random wave features.
Source Hendrik Lammers
Medium gray pattern with small strokes to give a weave effect.
Source Catherine
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
Pixel by pixel, sharp and clean. Very light pattern with clear lines.
Source M.Ashok
Luxury pattern, looking like it came right out of Paris.
Source Daniel Beaton
The rectangular tile this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i
Source Firkin
Square design drawn in Paint.net and vectorized in Vector Magic.
Source Firkin
A background pattern inspired by designs seen in 'Burghley. The Life of William Cecil', William Charlton, 1857.
Source Firkin
Feel free to use this seamless background texture as a background on a web site. It's colored in a light pink color and is seamlessly tile-able.
Source V. Hartikainen
A seamless background drawn in Paint.net and vectorised with Vector Magic. The starting point was a photograph of drinking straws from Pixabay.
Source Firkin
Inspired by a drawing in 'Kulturgeschichte', Freidrich Hellwald, 1896.
Source Firkin
From an image on opengameart.org shared by rubberduck.
Source Firkin