Hello Wendy,
They will not stop it whilst they are making a new assessment. Once they have made their decision, they will bring your future awards in line with their decision; which could mean, if they decide not to award you enough points for an award that one or both your payments will stop. If you request a MR and / or appeal and are successful, they will pay you the payments you lost out on.
Hope that makes sense,
Catherine
Nothing on this board constitutes legal advice - always consult a professional about specific problems 
