56% of the British public said in a recent poll that Blair should resign without delay, 43% of Labour supporters feel that way. His Chief whip, echoing what Blair said on Today said that:
She added that it would be "undemocratic" to be driven from office by an inquiry, adding: "He will choose the right time for the country, and for him, to go."
If they're concerned about democracy, then perhaps he should call a referendum on the issue? I think it's fairly clear that this will not happen.