(Updated at 1500 EDT)

By Karen Brettell

June 5 (Reuters) - Benchmark U.S. 10-year Treasury

yields fell to a two-month low on Wednesday after a report

pointed to weaker-than-expected jobs growth ahead of Friday's

highly anticipated government employment report for May.

Yields have tumbled this week as softening economic data

boosts expectations that the Federal Reserve will make two 25

basis point cuts this year.

Now the market is positioned for nonfarm payrolls on

Friday to come in below economists' projections for 185,000 jobs

gains.

Traders say that the so-called whisper number, an

unofficial forecast, is for employers to add around 120,000

jobs.

Economists' projections are also widely dispersed and

include some expectations around the 110,000 to 130,000 area,

said Guy LeBas, chief fixed income strategist at Janney

Montgomery Scott in Philadelphia.

This "seems like a more likely landing point after a

little bit of softness we've had in hiring during the week,"

LeBas said.

The ADP Employment Report on Wednesday showed that

private payrolls increased by 152,000 jobs last month, below

economists' forecasts for 175,000 in jobs gains.

A survey on Tuesday also showed that job openings, a measure

of labor demand, were down 296,000 to 8.059 million on the last

day of April, the lowest level since February 2021.

Benchmark 10-year note yields were last down 5

basis points at 4.289% and got as low as 4.287%, the lowest

since April 1.

Two-year note yields fell 4 basis points to

4.731% and reached 4.726%, the lowest since May 16.

The inversion in the two-year, 10-year yield curve

was little changed on the day at minus 44 basis

points.

Yields briefly bounced on Wednesday after the Institute

for Supply Management said its non-manufacturing purchasing

managers index rose to 53.8 last month from 49.4 in April.

The ISM's business activity index shot up 10.3 points,

the largest rise since March 2021 and reached 61.2, the highest

level since November 2022.

The business activity is "really driving that whole

index higher," said Ellis Phifer, managing director of fixed

income research at Raymond James in Memphis, Tennessee.

"It's just a little bit of a fly in the ointment when

we're looking at data that's been coming in a little bit softer

than expected, especially ahead of the nonfarm payrolls coming

up on Friday," he said.

This week's bond rally has also been driven by relief

over an absence of new bond supply, after some Treasury auctions

last week saw soft demand.

"This week has really just been about a lack of supply

in the interest rate markets compounding a little bit of

negativity on the economy," said LeBas.

Next week's consumer price index (CPI) for May will also be

key in guiding Fed expectations in the near-term. It will come

on Wednesday morning before the Fed is due to complete its

two-day policy meeting, when Fed officials will update their

economic and interest rate projections.