Curb your enthusiasm, you payroll-watching economic bulls.

True, Thursday’s ADP report showed private businesses added 201,000 jobs in August, blowing the doors off the 145,000 projected by economists. But that hiring pace isn’t strong enough to cut the 8.3% jobless rate significantly any time soon.

The ADP overshoot was just one in a series of good labor-related numbers. Jobless claims fell a larger-than-expected 12,000 in the Sept. 1 week. Layoff announcements in August fell to their lowest number since December 2010, said Challenger Gray & Christmas. And TrimTabs Investment Research, usually a Sad Sack when it comes to job estimates, said its calculations of tax-withholding data show August payrolls increased by a hefty 185,000.

Of course, any payroll change with a plus sign in front of it is good news for the economy and job-seekers. But progress on unemployment will remain slow.