Nomination process for the biennial elections to Rajya Sabha began with the issue of notification today.
Election for four seats in Andhra Pradesh, falling vacant on June 21, is scheduled for June 11.
The YSRC is left with 50 members after 17 of its MLAs defected to the ruling Telugu Desam Party (TDP) in the last three months.
Vijaysai is currently a general secretary of the YSRC.
He is facing criminal trial in several cases along with YSRC chief Jagan Reddy in quid pro quo deals.