S&P 500 and Nasdaq-100 futures also hovered just below the flatline.

The S&P 500 and Nasdaq Composite each snapped a four-day winning streak during the cash session while the Dow eked out a minuscule gain.

The Dow, S&P 500 and Nasdaq Composite are all up at least 1.3% week to date.

"The economy and the stock market have generally moved in the same direction over time, though rarely in lock-step," said Willie Delwiche, investment strategist at Baird, in a note.

Economists polled by Dow Jones expect more than 8 million jobs were lost in May while the unemployment rate surged to nearly 20%.

That decline would come after more than 20 million jobs were lost in April due to the coronavirus pandemic.