Media Minister Anura Yapa confirmed that a television station had asked to delay the levy due to financial difficulties.
"Recently a media firm requested us to give them some time to pay the taxes due to financial issues in their firm," Yapa told reporters.
"I then informed them to forward their request to the finance ministry."
Sri Lanka's television stations catering to the small English audiences say they are under threat due to the special levy. The industry says the jobs of about 1,250 people are now in jeopardy.
Sri Lanka brought in a controversial tax on imported television content last year i