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
This is so subtle I hope you can see it! Tweak at will.
Source Alexandre Naud
A seamless pattern formed from a rectangular tile. The tile can be retrieved by selecting the rectangle in Inkscape and using shift-alt-i.
Source Firkin
Used correctly, this could be nice. Used in a bad way, all hell will break loose.
Source Atle Mo
From a drawing in 'Royal Ramsgate', James Simson, 1897.
Source Firkin
A seamless pattern from a tile made from a jpg on Pixabay. To get the tile select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
A seamless pattern the unit cell for which can be had by selecting the rectangle in Inkscape and using shift+alt+i
Source Firkin
ZeroCC tileabel stone granite texture, edited from pixabay. CC0
Source Sojan Janso
White circles connecting on a light gray background.
Source Mark Collins
From a drawing in 'The Quiver of Love', Walter Crane, 1876
Source Firkin
The first pattern on here using opacity. Try it on a site with a colored background, or even using mixed colors.
Source Nathan Spady
Washi (和紙?) is a type of paper made in Japan. Here’s the pattern for you!
Source Carolynne
Might not be super subtle, but quite original in its form.
Source Alex Smith
A repeating background of beige paper with vintage look. Repeats to infinity, as usual.
Source V. Hartikainen
Utilising some flowers from Almeidah. To get the unit tile, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
That’s what it is, a dark dot. Or sort of carbon looking.
Source Tsvetelin Nikolov
A dark one with geometric shapes and dotted lines.
Source Mohawk Studios
Seamless Green Tile Background
Source V. Hartikainen
Looks like an old rug or a computer chip.
Source Patutin Sergey
The classic subtle pattern. Sort of wall/brick looking. Or moon-looking?
Source Joel Klein
If you want png files of this u can download them here : viscious-speed.deviantart.com/gallery/27635117
Source Viscious-Speed
More tactile goodness. This time in the form of some rough cloth.
Source Bartosz Kaszubowski