Sinn Féin president Gerry Adams is urging republicans not to lose their nerve over his call for them to endorse the PSNI.
Several leading IRA members have reportedly left the organisation due to Sinn Féin's moves to end its opposition to the police force.
Two of the party's MLAs have also resigned citing differences over policing.
Mr Adams said last night that he understood their reservations about policing, but he said the issue would be fully debated within republicanism before any change in policy is agreed.
Meanwhile, differences are continuing to emerge within the DUP over the policing issue and the matter of sharing power with Sinn Féin.
North Belfast MP Nigel Dodds said yesterday that the 2008 target for the devolution of policing and justice powers to Stormont had not been agreed by his party and would not be in the future.
Earlier, DUP leader Ian Paisley had asked that nobody in the party say anything to give Sinn Féin an excuse to walk away from its moves to endorse policing.