"Syria is being destroyed bit by bit," he told the reporters, "the region is being pushed into a situation that is extremely bad and extremely important for the entire world. That is why the Security Council simply cannot continue to say we are in disagreement, therefore let's wait for better times. I think they have got to grapple with this problem now."
The envoy also responded to rumors that he is resigning from his post.
"I'm not a quitter. The United Nations has no choice but to remain engaged with this problem, whether I'm there or not. The moment I feel that I am totally useless, I will not stay one minute more," he said.
Brahimi, the former Algerian foreign minister, replaced former UN Secretary-General Kofi Annan in September 2012 to mediate the crisis in Syria on behalf of the United Nations and the Arab League.
His briefing came on the eve of a humanitarian pledging conference for Syria that will be chaired by UN Secretary-General Ban Ki-moon on Wednesday in Kuwait.
The conference seeks to raise 1.5 billion U.S. dollars to assist civilians affected by the ongoing conflict over the next six months, including those inside the country as well as those taking refuge beyond its borders.
More than 60,000 people, mostly civilians, have been killed since unrest broke out in Syria in early 2011. Recent months have witnessed an escalation of the conflict, which has also left more than 4 million people in need of humanitarian assistance.
'Joint effort' urged to clear the air