Wall Street's main stock indexes closed higher on Tuesday, boosted by gains in Tesla and megacap growth stocks, but volumes were thin ahead of the July Fourth holiday and the closely watched release of June nonfarm payrolls on Friday.

The US Job Openings and Labor Turnover Survey, or JOLTS, showed job openings increased in May after posting outsized declines in the prior two months, but layoffs picked up amid slowing economic activity.

The data is the first in this week's series of US job reports, particularly Friday's release of June nonfarm payrolls, which will be crucial in assessing whether the US labour market remains resilient against the backdrop of decades-high interest rates.

Tesla surged to its highest level since the start of January after the EV maker reported a smaller-than-expected 5% drop in vehicle deliveries in the second quarter.

Megacap stocks such as Apple rose 1.6%, while Amazon and Alphabet also climbed, with US Treasury yields slipping across the board.

US Federal Reserve Chairman Jerome Powell told a panel that recent economic data represented "significant progress", though he noted that the Fed needed to see more before changing policy.

"What the Fed really wants to see is a further click up in unemployment and then a slowdown with regards to new job creation," said Genter Capital Management CEO Dan Genter, who added that the recent moderation in inflation could be a green light for the Fed to start considering rate cuts.

AI chip leader Nvidia dropped 1.3%, with the trend in other chip stocks largely mixed. Nvidia is up more than 147% year-to-date.

Investors are divided over the sustainability of the market rally in which the S&P 500 index has risen 14.75% in the first half of the year.

"We see an additional 10% before year end, which is kind of frightening because if we're at 5,500 or so (on the S&P 500), 10% on that means we really have to see earnings justify that type of multiple," said John Lynch, chief investment officer of Comerica Wealth Management.