Technology stocks Apple Inc and Microsoft Corp were among the biggest boost to the three indexes.
The indexes dropped about 1% after ISM's non-manufacturing activity index for September fell to 52.6 from 56.4 the month before and below expectations of 55.0.
Traders are now again expecting at least four rate reductions by the end of 2019, which they had abandoned after the central bank described each of its last two rate cuts as a "mid-cycle adjustment."
At 13:00 ET (1700 GMT), the Dow Jones Industrial Average was up 66.22 points, or 0.25%, at 26,144.84 and the S&P 500 was up 15.40 points, or 0.53%, at 2,903.01. The Nasdaq Composite was up 64.05 points, or 0.82%, at 7,849.29.
PepsiCo Inc rose 4.1% after beating quarterly expectations as higher advertising and new low-calorie versions of Gatorade boosted demand for its beverages in North America.