Capital FM reported its sources stating that Musyoka had requested to meet President Kenyatta alongside his co-principals Musalia Mudavadi and Moses Wetangula.
The details of the meeting including the venue and the agenda, however, remain unknown.
The three were left out of a controversial peace meeting held between the head of state and their coalition leader Raila Odinga.
The three responded with anger after Odinga's meeting with Kenyatta, prompting a NASA crisis meeting held on Monday at the Stoni Athi Resort.
After the crisis meeting, the three NASA principals agreed to brief their constituent parties before taking a final position on the Odinga-Kenyatta talks.