The measure of employment you're quoting there - the broadest available - has been essentially static since the turn of the year, and I would think is likely to show a fall in the next release.
It's measured by a survey over a three month period and the latest available (for February to April) placed employment only 15K above the December to February level, so the 667K gain over the year doesn't really provide an accurate picture of what's currently happening in the labour market.
Meanwhile the separate payroll data show a 109K fall in employment in May alone, the seventh successive monthly decline. The interesting development here is that while the initially large reported declines in payroll employment have tended to be revised to show smaller reductions over time, the opposite happened this time around, and the data now show a 55K decline in April rather than the first estimate of a 33K drop. So overall worrying data.