Sometimes simple really is what you need, and this could fit you well.
Source Factorio.us Collective
Just what the name says, paper fibers. Always good to have.
Source Heliodor jalba
Light and tiny, just the way you like it.
Source Rohit Arun Rao
Tiny little fibers making a soft and sweet look.
Source Badhon Ebrahim
Seamless pattern formed from a tile that can be extracted by selecting the rectangle in Inkscape and using shift-alt-i.
Source Firkin
Background Wall, Art Abstract, Watercolor Vintage style CC0 texture.
Source Ractapopulous
An emulated “transparent” background pattern, like that of all kinds of computer graphics software.
Source AdamStanislav
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
A light brushed aluminum pattern for your pleasure.
Source Tim Ward
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
Fix and cc0 to get the tile this is based on.
Source SliverKnight
A pale yellow background pattern with vertical stripes. The stripes are partially faded. I think this background image turned out pretty well, especially those faded stripes.
Source V. Hartikainen
Seamless , tileable CC-0 texture. Created by my own, feel free to use wherever you want!
Source Linolafett
A dark metal plate with an embossed grid pattern and a bit of rust. Here's a dark metal plate texture for use as a tiled background on web pages.
Source V. Hartikainen
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
Sharp diamond pattern. A small 24x18px tile.
Source Tom Neal
You know I’m a sucker for these. Well-crafted paper pattern.
Source Mihaela Hinayon
From a drawing in 'A Guide to the Guildhall of the City of London', John Baddeley, 1898.
Source Firkin
The following repeating website background is colored in a blue gray color and resembles a concrete wall or something similar to it.
Source V. Hartikainen
From a drawing in 'At home', J. Sowerby, J. Crane and T. Frederick, 1881.
Source Firkin
An abstract texture of black metal pipes (seamless).
Source V. Hartikainen
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
Zero CC tileable seed texture, edited by me to be seamless from a Pixabay image. CC0
Source Sojan Janso
Submitted in a cream color, but you know how I like it.
Source Devin Holmes