NTLM with httpchk

Is it possible to use NTLM with “option httpchk”? I know that the below works, using basic auth:

option httpchk GET /relative/urlstr/ HTTP/1.0\r\nAuthorization:\ Basic\ basic_auth_header

However, what I would ideally like to do is something like the following:

option httpchk GET /relative/urlstr/ HTTP/1.0\r\nAuthorization:\ NTLM\ ntlm_auth_header

Any ideas?

Afaik NTLM is a challenge/response authorization, so there is no fixed header for specific credentials, making this not possible.