Blues striker Andrew Barrowman came closest to breaking the deadlock when his 80th minute shot came back off a post with Leeds keeper Ben Smith beaten.
Defender Mario Melchiot came through ninety minutes in his first match action in eight weeks.
Leeds: Smith, Madden, Crainey, Hird, Gregan, Walton, Einarsson (Hutton 59), Smith, Howson (Ameobi 89), Bayly. Subs not used: Wilberforce, Camfield, Serrant.
Blues: Doyle, Melchiot, Painter, Oji, Bruce, Howland, Wright, Alsop, Barrowman, Kuqi (Allen 72), Birley. Subs not used: Sadler, Cottrill, Hall, Motteram.