Cómo arreglar los errores SSLE de "mal apretón de manos" cuando se utilizan solicitudes de Python

Estoy tratando de obtener acceso a la API de BambooHR (documentación aquí), pero recibo el siguiente error

    params = {
        'user': username,
        'password': password,
        'api_token': api_key}
    url = 'https://api.bamboohr.com/api/gateway.php/company/v1/login'
    r = requests.get(url, params=params)

Error:

Traceback (most recent call last):
  File "/Applications/PyCharm.app/Contents/helpers/pydev/pydevd.py", line 1580, in <module>
    globals = debugger.run(setup['file'], None, None, is_module)
  File "/Applications/PyCharm.app/Contents/helpers/pydev/pydevd.py", line 964, in run
    pydev_imports.execfile(file, globals, locals)  # execute the script
  File "/Users/chriscruz/Dropbox/PycharmProjects/082716_r2/Shippy/API/bamboo_api2.py", line 31, in <module>
    BambooFunctions().login()
  File "/Users/chriscruz/Dropbox/PycharmProjects/082716_r2/Shippy/API/bamboo_api2.py", line 26, in login
    r = requests.get(url, params=params, auth=HTTPBasicAuth(api_key, 'api_token'))
  File "/Library/Python/2.7/site-packages/requests/api.py", line 70, in get
    return request('get', url, params=params, **kwargs)
  File "/Library/Python/2.7/site-packages/requests/api.py", line 56, in request
    return session.request(method=method, url=url, **kwargs)
  File "/Library/Python/2.7/site-packages/requests/sessions.py", line 475, in request
    resp = self.send(prep, **send_kwargs)
  File "/Library/Python/2.7/site-packages/requests/sessions.py", line 596, in send
    r = adapter.send(request, **kwargs)
  File "/Library/Python/2.7/site-packages/requests/adapters.py", line 497, in send
    raise SSLError(e, request=request)
requests.exceptions.SSLError: ("bad handshake: Error([('SSL routines', 'SSL23_GET_SERVER_HELLO', 'unknown protocol')],)",)

No estoy seguro de qué es esto, ya que he reinstalado OpenSSL, Solicitudes, y no estoy seguro de cómo solucionar este problema.

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