Do watchband dyes leach into my body?

I have a blue Apple Watch Series 6 and white Apple Watch SE. I switched part of the band to have a white and blue combo.

I noticed that the white band now has blue dye/color on it from being worn next to the blue band.

Does that mean that the blue from my blue band seeps into my body?

I don’t know if it’s a big deal but it seems odd that the colors bleed like this.

(I’ve had these watches for +3 years so it’s not an overnight change)