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 in a bid to force television stations to air more than 400 locally made tele-dramas in the majority Sinhala language that were not accepted for broadcast.
It is not known whether they have now been aired, but privately-owned Sirasa TV, which makes its own dramas said at the time that most of the programs were of poor quality and they had to reject them.
There are now stiff penalties for popular Hindi programs that are dubbed in Sinhala broadcast by the Sirasa TV channel, though the penalty for English programs was reduced from the original level.
Due to opposition by Tamil parliamentarians, Tamil language programs were exempted and the tax on English programs was also reduced by President Mahinda Rajapakse following protests.
However, with a downturn in the advertising market, channels catering to the small English market, which is the first language of the country's burgher community and is also used by other ethnic groups, have run into financial difficulties.
Industry officials said a delegation met treasury officials last week, but the meeting had turned fiery with representatives of tele-drama artistes also being there.
The three English language broadcasters, MTV, ETV and Art TV have said that while mass-market channels like state-owned Rupavahini could charge 125,000 rupees for a 30 second spot advertisement, English channels could only charge about 5000 rupees.
The channels have to pay 10,000 rupees for every half hour of entertainment programs aired by them and pay a similar penalty for repeat telecasts.
An imported English film has been hit with a penalty of 25,000.
All other films especially popular Hindi films had been hit by a 200,000 penal levy.
English television stations have told the treasury the industry is now in crisis as the levies were too high compared with the market, and they have not been able to increase the rates to pass on the cost to advertisers.
The industry was also hit by a 500,000 rupee tax on imported television commercials with a large number of advertisers leaving the television industry altogether.
The current downturn in advertising spend had also generally hit television revenues.
Minister Anura Yapa says state-owned television stations have now made their dues up to date, and he has no power to give relief to stations who have requested relief.
"I have no such power to do so," he told reporters.
"Only the finance ministry can come to a final decision on this."The government had collected 160 million rupees and the money has been put in treasury bills Yapa said while a decision is made on what to do with it.