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
Lovely pattern with some good-looking non-random noise lines.
Source Zucx
With a name like this, it has to be hot. Diagonal lines in light shades.
Source Isaac
Derived from an image that was uploaded to Pixabay by mdmelo.
Source Firkin
From a drawing in 'Two Women in the Klondike', Mary Hitchcock, 1899.
Source Firkin
Derived from an image that was uploaded to Pixabay by Kaz
Source Firkin
You just can’t get enough of the fabric patterns, so here is one more for your collection.
Source Krisp Designs
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Nice and simple crossed lines in dark gray tones.
Source Stefan Aleksić
Just like your old suit, all striped and smooth.
Source Alex Berkowitz
The image depicts a seamless pattern of a Japanese family crest called "chidori" in Japanese .A chidori in Japanese means a plover in English.
Source Yamachem
No relation to the band, but damn it’s subtle!
Source Thomas Myrman
Seamless pattern formed from a tile that can be had by selecting the rectangle in Inkscape and using shift-alt-i.
Source Firkin
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
Brushed aluminum, in a bright gray version. Lovely 2X as well.
Source Andre Schouten
Because I love dark patterns, here is Brushed Alum in a dark coating.
Source Tim Ward
A seamless pattern drawn originally in Paint.net by distorting a slice of background pattern 116 and copying the resulting triangle numerous times.
Source Firkin
More leather, and this time it’s bigger! You know, in case you need that.
Source Elemis
Light gray version of the Binding pattern that looks a bit like fabric.
Source Newbury
Super subtle indeed, a medium gray pattern with tiny dots in a grid.
Source Designova
This one could be the shirt of a golf player. Angled lines in different thicknesses.
Source Olivier Pineda
Prismatic Curved Diamond Pattern 5 No Background
Source GDJ