Responding to a query from Hina, the ITF's press office said no additional steps would be taken after the decision by the Court of Arbitration for Sport which, together with the ITF Anti-Doping Tribunal, found Cilic guilty of breaking anti-doping rules.
The office said the ITF had nothing further to say on the matter.
The ITF said earlier that on 1 May 2013 a prohibited substance was found in a sample collected from Cilic, who claimed he accidentally ingested the nikethamide in glucose pills purchased at a drugstore.
The ITF gave him a nine-month suspension, which was reduced to four months after the Court of Arbitration partially upheld Cilic's appeal.
Last week the tennis player said he would not sue the ITF but that he expected a public apology.