(CNN) — The long-resilient labor market slowed down a little in May, adding 139,000 jobs, according to Bureau of Labor Statistics data released Friday.

Last month’s job gains, which came in slightly more than expected, marked a retreat from April , which was downwardly revised to 147,000.

The unemployment rate held steady at 4.2%, and wage gains continued to outpace inflation.

Those two numbers on their own — the monthly payroll gain and the unemployment rate — indicate that the US labor market is cooling and not collapsing. However, the guts of the report indicate that fissures may be spreading, some economists warn.

“I don’t want to play Debbie Downer by just reading the headlines and concluding nothing to worry about,” Gregory Daco, EY-Parthenon’s chief economist, told CNN. “In m

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