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 car pattern?! Can it be subtle? I say yes!
Source Radosław Rzepecki
Colored maple leaves scattered on a surface. This is tileable, so it can be used as a background or wallpaper.
Source Eady
Inspired by an image that was uploaded to Pixabay by geralt
Source Firkin
Medium gray pattern with small strokes to give a weave effect.
Source Catherine
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
A tile-able background for websites with paper-like texture and a grid pattern layered on top of it.
Source V. Hartikainen
As far as fabric patterns goes, this is quite crisp.
Source Heliodor Jalba
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Fabric-ish patterns are close to my heart. French Stucco to the rescue.
Source Christopher Buecheler
A large (588x375px) sand-colored pattern for your ever-growing collection. Shrink at will.
Source Alex Tapein
Got some felt in my mailbox today, so I scanned it for you to use.
Source Atle Mo
A repeating background with wood/straw like texture.
Source V. Hartikainen
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin