Ross said Iowa, Alaska, Hawaii and locations in China are all possible places for Donald Trump and Xi Jinping to sign the deal after the cancellation of this month's Asia-Pacific Economic Cooperation summit in Chile due to unrest in the country.
He called the agreement "particularly complicated" and said the U.S. was "making sure that each side has a very correct and clear, detailed understanding of what each side has agreed to."
"We're in good shape, we're making good progress, and there's no natural reason why it couldn't be," Ross told Bloomberg Television's Haslinda Amin in an interview on Sunday in Bangkok, when asked if the deal is on track to be signed this month.
"But whether it will slip a little bit, who knows. It's always possible."
Stocks rose to fresh records Friday amid signs of a breakthrough on trade as well as stronger-than-expected U.S. job growth.
Top negotiators both spoke on the phone Friday and described the talks as "constructive" as they look to lower tensions in a trade war that has roiled global growth.
Non-Committal
The deal would see China increase purchases of U.S. agriculture products, keep its currency stable and open financial services markets to American firms.
In return, Beijing wants the U.S. to do away with new import taxes due to take effect Dec. 15 on goods including smartphones.
Ross, who is attending a regional summit hosted by the Association of Southeast Asian Nations, remained non-commital on whether the Trump administration would suspend the December tariff hike.
He also said further phases of the deal would depend on things involving legislation on the part of China and an enforcement mechanism, without which "all you've got is a pile of paper.
Chinese officials have cast doubts about reaching a comprehensive long-term trade deal even as the two sides close in on the phase one agreement, Bloomberg reported last week.
China has stated for months that a final deal must include the removal of all punitive tariffs, and has balked at reforms in areas such as state-run enterprises that could jeopardize the Communist Party's grip on power.
Trump has placed dozens of Chinese firms on the Commerce Department's "entity list," hampering their ability to purchase American software and components.
It first targeted Huawei in May for national security reasons, and last month added 28 more companies including artificial intelligence giants SenseTime Group Ltd., Megvii Technology Ltd. and Hangzhou Hikvision Digital Technology Co.
Entities on the list are prohibited from doing business with American companies without being granted a U.S. government license, although some have maintained relationships with banned companies through international subsidiaries.
China's government has signaled it will hit back over the blacklist, and the companies have denied wrongdoing.
"There is not any cybersecurity issue for us and there is no evidence from the U.S. to say that," Edward Zhou, a Huawei vice president, said in an address earlier Sunday in Bangkok during the regional summit.
"We predict that this year, we can almost keep up the same performance as last year, even under such great pressure from the U.S. government."
Licenses Coming 'Shortly'
The blacklist is also hurting American companies that do business with China, and particularly Huawei.
Trump said in June after meeting with Xi in Japan that he'd "easily" agreed to allow American firms to continue certain exports to Huawei, and weeks later Trump said he'd accelerate the approval process for licenses.
Still, none have been granted so far. The president as recently as this month green-lit the approval of licenses in a meeting with advisers, according to people familiar with the matter, but an announcement has yet to be made.
Ross on Sunday said the licenses "will be forthcoming very shortly," noting that the government received 260 requests.
"That's a lot of applications — it's frankly more than we would've thought," Ross said in the interview. "Remember too with entity lists there's a presumption of denial. So the safe thing for these companies would be to assume denial, even though we will obviously approve quite a few of them."
One of the industry's main arguments for allowing shipments of non-national security sensitive items is that Huawei can buy some of those components from competitors around the world, including South Korea, Japan and Taiwan.
Ross also defended the U.S.'s engagement in Asia after Trump skipped the Asean meetings for the second straight year. And he downplayed the significance of a 16-nation trade agreement backed by China that would lower tariffs in an area representing about a third of the world's economy.
Asian leaders were expected to announce a breakthrough on the agreement, known as the Regional Comprehensive Economic Partnership, at the end of the meetings.
While contentious issues remain and the terms aren't yet known, RCEP would at least in part fill a trade gap left by the U.S. after Trump withdrew from the Trans-Pacific Partnership in 2017.
Southeast Asia, which collectively has the world's fifth largest economy, has struggled to wade through the economic fallout of enduring trade tensions between the U.S. and China.
"RCEP is not much of an agreement," Ross said. "It's not a free trade agreement, it's not anything remotely like TPP, nor anything remotely like our separate arrangements with Japan and with South Korea. So I don't think you want to blow that out of proportion. It's a very low-grade treaty."