The proposed change follows criticism from the Local Government Commission last year in the wake of a long-running campaign for Southport and Formby to split from Sefton.
In its final report, the commission ruled that Sefton should remain as it was, but it levelled criticism as the council for not being responsive to the views of its separate communities.
Dave Martin, the council leader, said the proposed Sefton model had been devised after studies of other local authorities involved in similar exercises across the UK.
Members of the executive board, chaired by the leader of the council, will have collective responsibility for the corporate affairs of the council. Area committees with delegated powers would be set up consisting of ward councillors and one executive board member.