Sharp diamond pattern. A small 24x18px tile.
Source Tom Neal
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
A colourful background drawn originally in paint.net and vectorised in Vector Magic.
Source Firkin
Prismatic Isometric Cube Wireframe Pattern No Background
Source GDJ
Prismatic Polka Dots Mark II No Background
Source GDJ
Small dots with minor circles spread across to form a nice mosaic.
Source John Burks
More leather, and this time it’s bigger! You know, in case you need that.
Source Elemis
Seamless pattern the tile for which can be had by using shift-alt-I on the selected rectangle in Inkscape.
Source Firkin
A background pattern with a look of rough fabric.
Source V. Hartikainen
This background pattern has futuristic look. So, maybe it could be used on websites or blogs dedicated to video games?!
Source V. Hartikainen
A seamless web texture of "green stone".
Source V. Hartikainen
A grid of squares with green colours. Since the colours are randomly distributed it is automatically seamless.
Source Firkin