I thought I had it all together on bleeding brakes - done gobs of 'em . Just did my brakes , saw this thread , went and unfurled my caliper , let it dangle , and instantly a stream of tiny bubbles rose upwards through my bleeder tube . Never would have thought it . Like Friar said , it's imperative to do this . There's a cavity in there where air gets trapped and 55 gallons of DOT 4 won't get it out . Try also gently tapping the caliper with a SOFT tapper thing.