I made something quick you can try, colors are not exactly as yours but similar. Your pattern is a repetition of those 4 tiles so I created them, then is easier to tile later as you wish.
I made original shapes in grey color, I find it easier to recolor and adjust later that way.
I filled the new layer with color and used Rotate/Zoom.
I filled the 2nd new layer with color and used Rotate/Zoom again, even more zoom in.
3rd new layer I used Filled Ellipse to create the circle. And ran AA´s Assistant afterwards on default settings to make the circle smoother.
Then I ran Object Align on all layers to make sure the shapes are all in center.
Now I used Tile Image on all 3 layers.
After that I used Select tool and colored the shapes, I used Color Filter.
Then Outline Object to get the small border around on all 3 layers, merge the 3 layers and the tile is ready.
Now one can use Tile Image to repeat it as one wishes.
Or Layers - Rotate/Zoom with Tiling buttton checked.