Basic HTTP and Bearer Token Authentication

I am currently developing a REST-API which is HTTP-Basic protected for the development environment. As the real authentication is done via a token, I'm still trying to figure out, how to send two authorization headers.

I have tried this one:

curl -i http://dev.myapp.com/api/users \  -H "Authorization: Basic Ym9zY236Ym9zY28=" \  -H "Authorization: Bearer mytoken123"

I could for example disable the HTTP-Authentication for my IP but as I usually work in different environments with dynamic IPs, this is not a good solution. So am I missing something?