Hi, thank you for your question. From the information you have provided as there is no provision in the order for contact to move on to unsupervised, there is no time limit to this. However, you would be entitled to apply to court to vary the order using form C100 and a £215 court fee.
Initially you must attend a mediation information session (MIAM) to see if mediation is suitable. You can find local ones here: familymediationcouncil.org.uk. The mediator will assist you both in reaching an amicable agreement that is in the children's best interests. If mediation does not help, then you will be able to pursue an application to court as outlined above.
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Are you able to attach the order using the paperclip icon?
For your information a Supervision Order is different to a child arrangement order with a provision for supervised contact.