"I have decided to file Special Leave Petition in SC after June 1st if K'taka govt does not file. So no need to go to Karnataka high court," he tweeted.
The BJP leader's statement comes two days after he had indicated on micro blogging site 'Twitter' that he could file an appeal in the apex court against Jayalalithaa and "prove that the KHC judgment is a 'tragedy of arithmetic errors'", adding she would have to resign as chief minister if she had taken over by then.
Swamy is the original complainant in the case. He had filed a case in 1996 against Jayalalithaa alleging that during her tenure as chief minister from 1991 to 1996, she amassed properties disproportionate to her known sources of income.
The Dravida Munnetra Kazhagam government subsequently filed cases, including the Rs 66.65 crore disproportionate assets case, against Jayalalithaa which led to her conviction in September last by a special court.
The Karnataka High Court acquitted Jayalalithaa on Monday.