By Alicia Wallace, CNN(CNN) — The US labor market, long stuck in a “low-hire, low-fire” slog, may be starting to show a glimmer of life. The latest official labor turnover data showed that employers increased their hiring efforts in June – an ever-so slight indication that momentum could be building. “Put together, the labor market is finding steadier footing,” Nicole Bachaud, a labor economist at ZipRecruiter, wrote Tuesday. Tuesday’s data is the first in a series of critically important economic metrics released this week about the labor market, culminating with the July jobs report on Friday morning. Job openings shrank the most in industries such as wholesale trade, healthcare and leisure and hospitality.