Addressing the Security Council, Griffiths said he was still "hopeful" that negotiations to follow up on a ceasefire deal reached last month in Sweden will be held "in the near future".
The breakthrough buoyed hopes of an end to the conflict, but the envoy's statement underscored that the diplomatic gains toward peace were fragile.
"Both sides have largely adhered to the ceasefire and there has been a significant decrease in hostilities," Griffiths told the council.
Talks are ongoing on a redeployment of forces from Hodeida, providing security in the city and opening up access routes to allow humanitarian convoys to reach millions in dire need of food aid, he added.
"It is my view and it is shared by the leadership of both parties, but also others, that substantial progress, particularly on Hodeida of course, is something that we would like to see before we reconvene the next consultations," said Griffiths.
The conflict has unleashed the world's worst humanitarian crisis, according to the UN, which says 80 percent of the population -- 24 million people -- are in need of aid.
UN Secretary-General Antonio Guterres has proposed the deployment of up to 75 observers to Yemen for an initial period of six months to shore up the ceasefire while talks on a broader peace deal are held.
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