On Friday the industry will get the formal read on how many jobs U.S. employers added in May, but in the short term, two early forecasts give a sneak preview.

Payroll giant ADP estimates that private payrolls rose a moderate 201,000 in May which is right at the Street consensus for 200,000.

For comparison, the consensus among industry sources for private payroll growth in Friday's employment report is a bit higher, at 215,000 with the low estimate at 185,000.

ADP sometimes does and sometimes does not correctly anticipate the employment report having last month signaled weakness in what turned out to be a respectable report for April.

Meanwhile, Gallup's U.S. Job Creation Index reached a new high of plus 32 in May, up from plus 31 in April.

In the government sector, perceived job creation ticked up to a new high. Nationally, workers' improved perceptions of hiring activity in their workplaces are a good sign for the economy as summer begins.

The positive trend on job creation matches other reports of low unemployment that Gallup and the U.S. Bureau of Labor Statistics have found. However, there have also been several negative economic news items.

Gallup's measure of Americans' economic confidence in May, and consumer spending was flat.