Dyed my hair black can i put another color in it?

I am an African Amercian and I Dyed my hair black on May 31 and Im just wondering when can I put another color in my hair without making it turn green.

It really just depends what color your hair is originally, what dye you used the first time, and the kind of dye your planning on using next.
Personally, I would go talk to a professional hair stylist.