After the former vice president indicated he would be willing to speak, the House January 6 committee held discussions with his legal team.
During the committee's next round of hearings in September, Cheney could call Pence to testify.
At an event in New Hampshire on Wednesday, he said that if there was an invitation to participate, he would consider it.
The committee has run into problems with witnesses who claim they can't answer questions about conversations with former President Donald Trump because of executive privilege.
At the Iowa State Fair on Friday, he did not directly answer questions about his contact with the January 6 committee, but said he would consider appearing if given a formal invitation.
Cheney said in an interview that he believes in executive privilege. Everyone who has information has an obligation to step forward when the country is going through something like this.
In the January 6 committee's hearings this summer, he was portrayed as a key figure that prevented Trump from reversing his plans to win the election. The witnesses said Trump became angry when Pence refused to block the certification of the results. He refused to be evacuated from the Capitol despite being rushed to an underground dock. The security staff of the vice president put in calls to their colleagues asking them to say goodbye to their loved ones if they were killed in the line of duty.
It's not known when the hearings will be or how many will be.
He might testify to the House January 6.
The team was shocked and disappointed when Trump said he could overturn the election.
The official said that the security staff wanted to say goodbye to families during the riot.