David Ward, Liberal Democrat MP for Bradford, is still under fire for the comments he made about atrocities committed by "the Jews".
The party said "further decisions" would be taken about David Ward after Jewish leaders demanded action following a meeting with Lib Dem bosses.
The Bradford East MP apologised for any "unintended offence" and made a written promise not to repeat the reference last month.
But the Board of Deputies of British Jews said the apology had "no credibility" as the MP had not removed the offending post from his website.
Mr Carmichael and Lib Dem chief executives called a meeting with the heads of the board and the Holocaust Educational Trust.
More top news
DJ Stephanie Hirst says she wouldn't change anything as she nears her first year living as Stephanie, and an important upcoming milestone.
A man has been jailed after being caught on CCTV holding a rifle to a woman’s head after drinking 27 pints of beer.
Your afternoon weather update for Yorkshire and Lincolnshire with Jon Mitchell