Elliott-Halberstam conjecture and the Riemann Hypothesis

flouran
I was wondering if one of the consequences of the Elliott-Halberstam conjecture would imply the Riemann Hypothesis (RH) or the Generalized Riemann Hypothesis (GRH)?
Or at least if there is a connection between the Elliott-Halberstam conjecture and RH or GRH?
I ask because the Bombieri-Vinogradov (which is related to the Elliott-Halberstam conjecture) theorem was proven assuming GRH.