Ok, let's look at the data. In January, 2011, there were appox 1,726,000 new claims (
UI weekly claims). From the
Job Openings Labor Turnover Survey, we see that there were about 1,519,000 layoffs (Table B) Ok, that's close enough considering the slightly different time frames, lags of being laid off and filing, and just the margins of error.
Total separations was 3,555,000, but there were 3,712,000 hires, for a net change in January of 157,000.
This will NOT match up with the non-farm payroll survey changes. The JOLTS survey is for all hires/separations from the 1st to the last day of the month. The official jobs numbers are a snapshot of the number of people employed during the pay period that contains the 12th, and the monthly change is the net change between those pay periods.