A smooth mid-tone gray, or low contrast if you will, linen pattern.
Source Jordan Pittman
This background pattern contains worn out colorful stripes as a texture.
Source V. Hartikainen
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
Retro Circles Background 5 No Black
Source GDJ
Black version of a pattern that came out of playing with the 'light rays' plug-in for Paint.net
Source Firkin
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
The image depicts meshed silhouettes of various things.The original image is an OCAL clipart called "Enter FOSSASIA 2016 #IoT T-shirt Design Contest" uploaded by "openclipart".Thanks.
Source Yamachem
Submitted by DomainsInfo – wtf, right? But hey, a free pattern.
Source DomainsInfo
This is the remix of "Tileable Wave Pattern 2" uploaded by "Arvin61r58".Thanks.I added a wire-mesh fence seamless pattern as a lower layer.
Source Yamachem
The tile this fill pattern is based on can be had by using shift+alt+i on the rectangle.
Source Firkin
The image depicts a seamless pattern made using a bird's face.
Source Yamachem
The image depicts a seamless pattern which includes hexagonally-aligned gourds with BG in light-brown.
Source Yamachem
To get the tile this is based on select the rectangle in Inkscape and use shift-alt-i
Source Firkin
A seamless pattern of "sewn stripes" colored in light gray.
Source V. Hartikainen
A seamless pattern formed from cross 4. To get the original tile select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
Lovely light gray floral motif with some subtle shades.
Source GraphicsWall
The image depicts a seamless pattern of a tortoise in tortoiseshell (hexagon).
Source Yamachem
This one resembles a black concrete wall when is tiled. It should look great, at least with dark website themes.
Source V. Hartikainen
Tile available in Inkscape using shift-alt-i on the selected rectangle
Source Firkin
Prismatic Geometric Tessellation Pattern 2 No Background
Source GDJ