'BK' (ii) was the designation of an Allied convoy (together with a numerical suffix) plying the route from Bombay to Karachi, India, and as such a reciprocal of the 'KB' (ii) series (January 1943).

The series comprised only the BK.1 convoy that departed Bombay on 10 January with the 5,149-ton British Comliebank, 2,798-ton British Hoihow and 2,642-ton British Kweiyang.