"A strong jobs report is going to bolster the case for a rate increase," Richmond Fed President Jeffrey Lacker, referring to the consensus forecast for job growth, told reporters this week in Huntington, West Virginia.
It will be the last employment report before the Fed's Nov. 1-2 policy meeting. Investors see almost no chance of a rate increase at that meeting given how close it is to the Nov. 8 presidential election.
Yellen said last month the Fed will likely raise rates once this year but prices on fed funds futures suggest just above even odds the hike will come at the Fed's last policy meeting for the year in December. Some Fed policymakers have vocally defended a go-slow approach to rate increases but three policymakers voted for a hike last month when the Fed kept rates steady.
Republican candidate Donald Trump has accused the Fed of playing politics by holding rates low, a charge Yellen and other Fed policymakers have denied. Trump has also made reversing job losses at U.S. factories a central campaign promise.
In September, manufacturing employment was expected to fall, which would be the fourth straight month it was down or flat. The sector has shed 39,000 jobs this year.
A firming overall labor market and rising wages, however, could be an asset for Democratic presidential candidate Hillary Clinton who has argued that President Barack Obama, also a Democrat, has helped the economy.
Economists expect hourly wages for private sector workers rose 2.6 percent in September from the same month in 2015. The annual growth rate has shown signs of accelerating over the last year although it remains slower than before the 2007-09 recession.
The Fed lifted its benchmark overnight interest rate at the end of last year for the first time in nearly a decade, but has held it steady since amid concerns over persistently low inflation.
The expected pace of job growth in September would come after a slowdown in August that many economists believe reflected challenges adjusting the data for changes in the weather.