Prime Minister Raila Odinga is expected to hold a media briefing over the nominations to four constitutional offices Tuesday.
A brief statement from his office indicated that Mr Odinga will address the nation at 4 pm at his Shell and BP House office, Nairobi.
Last week, House Speaker Kenneth Marende declared the nominations illegal and referred the matter back to the principals to restart the process.
Mr Marende said President Kibaki did not follow the law in nominating Mr Justice Alnashir Visram to be Chief Justice, Prof Githu Muigai (Attorney General), lawyer Kioko Kilukumi (Director of Public Prosecutions) and William Kirwa as Controller of Budget.
He said the President did not consult the Prime Minister as envisaged by the constitution and the National Accord.
On Friday, President Kibaki, however, said he had acted within his "constitutional mandate" in making the nominations.
"In my actions as your President, I have at all times acted in accordance with the Constitution and the Laws of Kenya, he said.
The President said he will await the decision of the constitutional court over the matter.
But Mr Odinga praised Mr Marende's ruling saying the Speaker had upheld the Constitution when making his ruling.
“The Speaker made that ruling in line with the Constitution and in that (ruling), there is no winner or loser. The winner is Kenya. Nobody should brag that I won and they lost. Kenya won,” the PM said.
A three judge bench comprising of Justices Kalpana Rawal, George Dulu and Luka Kimaru adjourned the hearing of the case to March 2.
Pro-Kibaki MPs have vowed to overturn Mr Marende's ruling saying he was biased.
Matters are expected to come to a head in Parliament later Tuesday where the PNU allied MPs and their rebel ODM counterparts will seek to make good their threat.