Can a green anole live with a neon tree dragon?

I just bought a neon tree dragon(lizard) today at petco to live with my green anole and i asked the reptile lady at the store beforehand to make sure that they could and she told me that they should be able to since neither of them are aggressive, they aren't tooo much larger than one another, they eat the same things, and they also live in the same habitat type so i am just going to watch them to make sure that they dont fight or anything, but they should be good :)