Unions GMB, UCATT and legal firm GCR have already settled their members claims against eight major building firms.
In addition, 90 members represented by union Unite were due to begin their trial on Monday, 09 May.
However, due to four claimant teams now becoming one, and new evidence being produced from the Information Commissioner's Office (ICO), Unite has applied for the adjournment.
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Director of Legal Services, Howard Beckett, said: "Unite applied for an adjournment at the High Court today (Wednesday 4 May) and this was granted by Lord Justice Supperstone until Tuesday 7 June.
"The reason for the application was that the four claimant teams have now become one which meant that it was impractical for the trial, estimated to take 11 weeks, to start on Monday 9 May.
"In addition, some late disclosure has come in from the Information Commissioner's Office and this evidence needs to be considered and evaluated by our legal team."
Mr Beckett added: "Unite still represents about 90 members whose jobs were ruined and lives turned upside down by the 'blacklisting' scandal.
"Unite has not reached any settlement although we continue to negotiate to achieve justice."
(LM)
