"This question is in fact a little premature in terms that the president has to do certain things by the end of November. So we need to wait a bit," she said in an interview to the Žinių Radijas (News Radio).
It was reported earlier in the day that the president had signed a decree on the first sitting of the new Seimas at noon on 16 November.
"Very important issues will be addressed on this particular day as the leadership of the Seimas will be elected," Svetikaitė said.
According to the presidential adviser, a new candidate for prime minister will be nominated after the Seimas' first sitting and after the outgoing government returns its powers.
"When the newly-elected Seimas holds its first sitting and the Cabinet returns its powers, only then will the president have to submit the candidature of the next prime minister for consideration within 15 days. And only after the Seimas approves, will the president appoint the prime minister and authorize him to form a new Cabinet, and the president will later approve its composition," the adviser said.
"All these questions are in the near future and they will all be answered with actions and decisions the president is entitled to by the Constitution," Svetikaitė said.
President Grybauskaitė had said she would decide on the future coalition and prime minister following the Constitution Court's clarification. The Court's conclusion on electoral violation during the recent Seimas elections was published last Saturday.
Following the second round of voting in the Seimas elections, Grybauskaitė said the Social Democrats had won the Seimas elections and it was very "likely that after the Central Electoral Commission confirms the final results, she will propose to them to form the Cabinet." The president also said she was against the Labour Party's involvement in any new ruling majority.
On Saturday afternoon, the Constitutional Court passed a ruling, saying that the Central Electoral Commission overlooked certain violations of election procedures when it passed its decrees on the final results and therefore violated the law.