"The party will decide. On this issue, none need be worried", CPI(M) state secretary Kodiyeri Balakrishnan, told reporters here.
Chief Minister Pinarayi Vijayan had on June 9 said that the post to be given to 92-year-old Achutanandan, a former chief minister, has not been thought of now.
He had responded to a reporter's query amid reports that Achuthanandan would be given a post with a cabinet rank.
Achuthanandan had in a Facebook post early this month said that he had not asked for any position.
The Marxist veteran, who was overlooked by the party for the chief minister's post citing his advanced age, had said he would continue to play the role of a "sentinel" and protect the interest of the people.