Selection could trigger an early Stormont election.
Edwin Poots is expected to nominate Paul Givan as first minister of Northern Ireland this week.
The Sunday Times reports the selection by the new DUP leader could trigger an early Stormont election.
Paul Givan was partly blamed for the collapse of the powersharing administration four years ago, when he cut funding for Irish language courses in his role as communities minister.
The paper says his nomination will cause chaos within the DUP, which is deeply divided over the leadership of Edwin Poots.

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