Advocate Marumo Moerane presented his heads of arguments in the Constitutional Court earlier on Monday representing the speaker in the United Democratic Movement (UDM) case.
The UDM wants the court to give parliament the green light to vote in a motion of no confidence against President Jacob Zuma in secret, but Mbete has argued that the rules of Parliament do not provide for a secret ballot.
Moerane told the court the speaker is subject to decisions of the house.