Kenya Kwanza has maintained that nothing outside the law will be discussed during the bipartisan talks.
Speaking on Tuesday at Citizen TV, Senate majority leader Aaron Cheruiyot said Kenya Kwanza has not given ultimatums for discussions.
"We come to this table with open arms and willing to listen to that which is possible we shall do," he said.
"The very firm instructions which I got this morning from our parliamentary group meeting is not to try anything that is outside the confines of the law. That will be the only difficulty that I'll run into."
He added that if things go south, the opposition will not have much to answer because they were not in administration.
"Listening to some of the demands that are coming from our colleagues(Azimio) I do not know of any legal or constitutional provision that will allow me to go into that directory," he said.
The legislator now wants the opposition to stop threatening Kenya Kwanza with demonstrations if their demands are not met.
He said opposition calls for demonstrations will only drive away its supporters.
This is after the move to have a dialogue through a bipartisan approach between Kenya Kwanza and Azimio.
Both parties have given out seven names to spearhead the discussions.
Kenya Kwanza representatives are Kakamega Senator Boni Khalwale, Tharaka MP George Murugara, nominated Senator Esther Okenyuri, and Kibwezi West MP Mwangi Mutuse.
Others are Taita Taveta Women Representative Lydia Haika, Bomet Senator Hillary Sigei and Eldas MP Adan Keynan.
The team will spearhead the bi-partisan talks with the seven-member team that was also announced by Azimio la Umoja coalition leader Raila Odinga last week.
Azimio leaders selected include Narok senator Ledama Ole Kina, Nairobi senator Edwin Sifuna, Kitui senator Enoch Wambua and Malindi MP Amina Mnyanzi.
Others are Suba North MP Millie Odhiambo, Pokot South MP David PKosing and Rarieda MP Otiende Amollo.