The former first minister declined the invitation from the inquiry last week.
Mr Salmond cast further doubt on his future appearance in a letter from his solicitors on Friday in which he said he was not able to “discharge in full” his duty under oath at an evidence session due to fear of prosecution.
The committee will instead take the session in private to discuss its next moves.
As yet, there is no agreed date for Mr Salmond’s potential appearance in front of the committee following his decision to decline to appear this week.
The committee is examining the botched handling of harassment complaints against Mr Salmond that led to a £500,000 legal bill for the Scottish Government after it conceded a judicial review action brought by the former first minister on the grounds of “apparent bias”.