First you need the other party on the deed to agree as he or she needs to sign the deed to accomplish any change. Then you should see an attorney to discuss your specific needs and to prepare the papers.
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All you need to do is execute a quit claim deed to yourself and record it with the related RP and TP forms in the county clerk's office. You do not need your co tenant's permission to do so. The deed to yourself converts the joint tenancy into a tenancy in common.
My answer to your question is for general purposes only and does not establish an attorney-client relationship,
You would have an attorney prepare a deed and accompanying conveyance documents from you to yourself (no need to include the other joint tenant) and recite in the deed that it is being done only to effectuate the conversion of the status of ownership from a joint tenancy to a tenancy in common.