I found this excellent Economic Letter from the Federal Reserve Bank of San Francisco that speaks to this observation. It is from Carl R. Walsh (july 16,2004) (https://www.frbsf.org/economic-research/publications/economic-letter/2004/july/the-productivity-and-jobs-connection-the-long-and-the-short-run-of-it/ )
In this letter he notes that, newspaper articles blame strong productivity growth for a “jobless recovery,” as economic output grows yet employment does not.
While it appears that faster productivity growth allows businesses to increase production without increasing employment.
His answer lays in the difference between macroeconoimcs and microeconomics perspective on productivity and between the short-run and long-run effects of changes in productivity.
From a micro perspective, productivity growth and new technological innovations are constantly leading to structural changes in the economy, causing one industry to expand in terms of both production and employment, while other industries contract. However, jobs in other industries also expand.
For example, the manufacturing sector productivity increase but there share of total employment declined while employment and output in areas such as the computer industry have grown rapidly.
These shifts in the economy cause jobs to disappear in some sectors while jobs are created in others.
In the short-run, if demand of products rise this will lead to expanding product. And if labor productivity is unchanged, then typically they need to hire more workers to do this.
But, if overall demand in the economy has not expanded, then an increase in labor productivity could lead to a fall in employment in the short run.
In the long run, there is an emphasis that an increase in labor productivity increases potential GDP. It does so directly by allowing more output to be produced with the same level of employment, but it also increases employment because it decreases the cost of labor to firms and promotes the creation of new industries.
The cost of labor is noted as not just wages and benefits but also cost relative to the output the workers are able to produce.
A rise in labor productivity lowers the cost of labor at a given level of wages and benefits. If higher productivity makes labor less costly, firms will find it profitable to expand employment.