On its first day as the front-month, gas futures for July delivery fell 2.9 cents, or 1.0%, from where the July contract closed on Wednesday to $2.998 per million British thermal units.
US pipeline exports to Mexico, meanwhile, averaged 6.0 bcfd so far in May, just off April's monthly record of 6.1 bcfd, Refinitiv data showed.
The price decline came despite forecasts that warmer weather in coming weeks will boost the amount of gas power generators burn to keep air conditioners humming.
Front-month gas futures fell 1.2 cents, or 0.4%, to $2.913 per million British thermal units
Traders noted gas prices were also following oil futures lower. US crude fell more than $2 a barrel on renewed global demand concerns as coronavirus cases in Asia rise, among other things.
Front-month gas futures fell 4.2 cents, or 1.4%, to $2.970 per million British thermal units.
Front-month gas futures rose 16 cents, or 5.4%, to $3.121 per million British thermal units (mmBtu) .
Data provider Refinitiv said gas output in the Lower 48 US states averaged 90.9 billion cubic feet per day (bcfd) so far in May, up from 90.6 bcfd in April, but still well below November 2019's monthly record of 95.4 bcfd.
On its last day as the front-month, gas futures for May delivery rose 2.4 cents, or 0.8%, to $2.897 per million British thermal units.
That increase kept the front-month in overbought territory with a Relative Strength Index (RSI) over 70 for a third day in a row for the first time since August 2020.
The US Energy Information Administration (EIA) said utilities added 38 billion cubic feet (bcf) of gas into storage during the week ended April 16.
That was less than the 49-bcf build analysts forecast in a Reuters poll and compares with an increase of 47 bcf in the same week last year and a five-year (2016-2020) average increase of 37 bcf.
Traders also noted that mild weather this week will likely cause utilities to boost injections into storage by so much that the total amount of gas in inventory will rise above the five-year (2016-2020) average for the first time since the February freeze.
Front-month gas futures rose 1.9 cents, or 0.8%, to $2.541 per million British thermal units.
If correct, last week's decrease would cut stockpiles to 1.776 trillion cubic feet (tcf), which would be 5.3% below the five-year average of 1.875 tcf for this time of year.
Front-month gas futures fell 3 cents, or 1.2%, to $2.498 per million British thermal units.
Exxon is asking the Texas court to rule that the massive storm, caused when an arctic air mass swept the central United States, was a natural disaster.
US gas demand and prices soared last month when freezing temperatures hit as far south as Texas, where 4.3 million homes lost power.
If correct, last week's decrease would cut stockpiles to 1.807 trillion cubic feet (tcf), which would be 10.7% below the five-year average of 2.023 tcf for this time of year.
Front-month gas futures fell 3 cents, or 1.1%, to $2.786 per million British thermal units.