Looking into the requests module, it looks like it uses httplib to send the http requests. httplib uses socket.create_connection() to connect to the www host.
Knowing that and following the monkey patching method in the link you provided:
import socket
real_create_conn = socket.create_connection
def set_src_addr(*args):
address, timeout = args[0], args[1]
source_address = ('IP_ADDR_TO_BIND_TO', 0)
return real_create_conn(address, timeout, source_address)
socket.create_connection = set_src_addr
import requests
r = requests.get('http://www.google.com')
It looks like httplib passes all the arguments (to create_connection()) as args (vs keywords) as trying to extend the kwargs dict inside set_src_addr was failing. I believe the above is what you want, but I don't have a dual homed machine to test on.