In 2008, Acting Chief Justice Bess Nkabinde and Judges Chris Jafta went to the Constitutional Court, where they were working at the time.
They said that Western Cape Judge President John Hlope had spoke to them about cases they were adjudicating involving Jacob Zuma.
EWN's Stephen Grootes says the two judges had said that Hlope had asked them to ensure the cases would be 'judged properly'.
These two judge were then part of the court decision to lodge a complaint against Hlope.
A judicial conduct tribunal was set up to investigate what had happened.
Then these two judges told the tribunal they did not want to testify, even though they were part of original complaint.
It went to court and the Supreme Court of Appeal ruled that the investigation must continue and the judges must testify. Jafta and Nkabinde appealed to the ConCourt, but that court said Supreme Court's ruling stands.
Now the two judges have gone back to ConCourt and said they think the decision was wrong because it did not hear their arguments.
Grootes says the latest actions are inexplicable.
"No whisper that comes close to explaining, but we do deserve an explanation."
Grootes says the Hlope case is not going to go away. It is unlikely that the appeal will be reverted.
Listen to the full conversation: