Two of the four Lloyd's Members' Agencies have advised their members to vote against the Chairman's Strategy Group (CSG) proposals.
Christie Brockbank Shipton (CBS) has advised its members to oppose the proposals at the extraordinary general meeting (EGM) vote on 12 September, after Hampden advised the same earlier in the week.
CBS sent a letter to its Names today saying that regrettably it was recommending they do not support the proposals.
Like the Association of Lloyd's Members (ALM), CBS supports the franchise structure, but has reservations about other proposals they would be endorsing in the wholesale vote.
On Monday, the largest Names' association - the Association of Lloyd's Members (ALM) - publicly came out against the proposals, describing the all-encompassing resolution as a "blank cheque to approve a curate's egg".
ALM chairman Michael Deeny commented today: "CBS has joined Hampden in coming out against the Lloyd's EGM resolutions and the fact that the two largest members' agents are opposed must make the Council of Lloyd's reconsider its proposals."
Meanwhile Lloyd's has been urging members to get behind the proposals to modernise the market.
Lloyd's deputy chairman John Coldman said that a Lloyd's riven by internal tensions would not inspire confidence and urged unity from the market's financial backers.
"It is that unity of purpose and commitment that will propel the reformed Society of Lloyd's into an even stronger business position," he said.