Dr Rowan Williams faced calls for him to quit after he implied some aspects of Sharia could be adopted in the UK.
BBC religious correspondent Robert Pigott says some traditionalist members of the Synod could ask for the issue to be debated, but that this was unlikely.
The Times says Gordon Brown has asked Dr Williams to clarify his remarks.It says the prime minister telephoned the archbishop and encouraged him to clarify his remarks, where he felt they may have been misinterpreted.
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