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
Light gray version of the Binding pattern that looks a bit like fabric.
Source Newbury
The tile this fill pattern is based on can be had by using shift+alt+i on the rectangle.
Source Firkin
A seamless pattern from a tile drawn in Paint.net and vectorised in Vector Magic
Source Firkin
Sharp pixel pattern looking like some sort of fabric.
Source Dmitry
A seamless background pattern with impressed gray dots.
Source V. Hartikainen
Derived from an image that was uploaded to Pixabay by TheDigitalArtist
Source Firkin
Remixed from a drawing in 'Chambéry à la fin du XIVe siècle', Timoleon Chapperon, 1863.
Source Firkin
Remixed from a design seen in 'Burghley. The Life of William Cecil', William Charlton, 1857.
Source Firkin
Utilising a bird from s-light and some flowers from Almeidah. To get the unit tile, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i
Source Firkin
Retro Circles Background 4 No Black
Source GDJ
The image depicts a seamless pattern of a tortoise in tortoiseshell (hexagon).
Source Yamachem
Remixed from a JPG that was uploaded to Pixabay by theasad121
Source Firkin
To get the tile this is made up from select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Prismatic Abstract Geometric Background 4
Source GDJ
This is a grid, only it’s noisy. You know. Reminds you of those printed grids you draw on.
Source Vectorpile
Background Wall, Art Abstract, Star Well & CC0 texture.
Source Ractapopulous
Medium gray pattern with small strokes to give a weave effect.
Source Catherine
Remixed from a drawing in 'A Child of the Age', Francis Adams, 1894.
Source Firkin
ZeroCC tileable stone texture, edited from pixabay, CC0
Source Sojan Janso
Remixed from a drawing in 'Line and form", Walter Crane, 1914.
Source Firkin
This one is so simple, yet so good. And you know it. Has to be in the collection.
Source Gluszczenko
A seamless pattern formed from a square tile. The tile can be retrieved by selecting the rectangle in Inkscape and using shift-alt-I. A version of the original with random colors.
Source Firkin