But Kudlow warned that if China holds out against US demands, Washington could ramp up the trade war.
"If we don't make a deal, then I'm going to put the $267bn additional on", he told the newspaper, referring to the remainder of Chinese imports which so far have not been hit with tariffs.
On Monday, the president said the USA did not approve of escalating violence between Russian Federation and Ukraine, but didn't specifically call out Russia's behavior.
Absent some agreement, the rate of the existing tariffs on US$200 billion (NZ$291 billion) of China's exports to the United States will rise from 10 per cent to 25 per cent from January 1.
Trump campaigned on reducing the trade imbalance with China, which totaled $335.4 billion previous year.
Despite Kudlow's repeated insistence that Trump sees cause for optimism, he also underlined the tough conditions that the administration wants to impose on Beijing.
The U.S. Trade Representative "has been teeing up protection (probably export restraints) for over a year, as shown by the side letters exchanged in the USMCA process", Mary Lovely of the Peterson Institute for International Economics told CBS MoneyWatch in an e-mail.
His talks with Putin present an especially tricky task.
US-Russia relations are under huge strain, while Trump is under investigation at home for alleged collusion with Moscow during his 2016 presidential election win.
When asked whether Trump would meet with the embattled Saudi Crown Prince Mohammed Bin Salman, Bolton responded that Trump's schedule is "full to overflowing at this point".
"And if it's not made, we will be taking in billions and billions of dollars", said Trump.
The dinner with Xi is scheduled as one of the last events on Trump's itinerary there before he returns to Washington, Kudlow said.
Trump told the WSJ that companies importing goods from China should move plants to the U.S. Apple builds its phones and laptops overseas, though many parts come from its home country. But Trump has dismissed this, prompting an outcry from opponents and even some allies in Congress.
But, Sanders later added, "I wouldn't say that we've ruled out any interaction".