"February is typically a very strong month. It's when people start to hire after the drudgery of January. It's when you start to get a strong three- to four-month upswing," she said, adding there are some anecdotal signs for improvement, such as a pickup in travel. "It's also the month we're going to see if the 1.2 million that lost their extensions for unemployment ... quit or did they find something."
Swonk said on a seasonally adjusted basis, February job growth over a dozen years has been a little over 200,000, and an average 599,700 if not adjusted.
But traders have been speculating that the jobs reports could be weak because of especially bad weather in the week the government conducted the survey for the monthly report.
Thursday's weekly jobless claims report was a positive surprise. Weekly unemployment claims fell to 323,000 during the week ending March 1, down 26,000 and more than 12,000 below consensus.
(Read more: US claims fall, but workers grow less productive)
While the claims number was seen as a bounce after the week earlier's jump in claims, some economists said the report points to a better outlook for continuing claims since it seemed to contain no special factors.
The previous week's report was revised up to 349,000, and the Labor Department blamed the fluctuation on winter storms, but some economists said the two weeks may be the effect of the Presidents Day holiday.
Economists have been watching a mixed bag of economic data, hoping to see if the spotty trend is due to an unusually harsh winter with lots of storms, or something else.
ADP private sector payrolls totaled 139,000 for February, a number that has been higher than the government nonfarm payrolls by an average 14,000 for the last six months. Within that report, most of the jobs—120,000—were service sector. Construction totaled 14,000 but manufacturing added just 1,000.
Zandi said there's a chance there's more at work than just bad weather. One area he is watching is housing.
"I think there's a transition in the housing market from investors to first-time buyers, and that isn't going smoothly," he said, adding he hopes to see improvement in the spring buying season. "That's a key risk to my optimism."