Was able to do it on python 2.7 / httplib.
Before request:
conn._HTTPConnection__state = httplib._CS_IDLE
Before getresponse:
conn._HTTPConnection__state = httplib._CS_REQ_SENT
Where conn is the connection returned by httplib.HTTPSConnection.
In my case all requests were of the same type, same headers, except for one variable in GET string. Dunno if this will work with different request types.