Shoppers may get an early present this holiday season: falling prices in many gift-giving categories.

On Thursday, CEO Doug McMillon said could be coming as general merchandise and key grocery items, such as eggs, chicken and seafood get cheaper.

He said the retailer expects some of the stickier higher prices, such as the ones for pantry staples, to "start to deflate in the coming weeks and months," too.

"In the U.S., we may be managing through a period of deflation in the months to come," he said on the company's Thursday earnings call. "And while that would put more unit pressure on us, we welcome it, because it's better for our customers."

For more than a year, consumers have coped with inflation that peaked around four-decade highs and drove up the cost of nearly everything, including groceries, rent and utilities. But McMillon's comments echoed what the government and other retailers said earlier this week, offering signs of relief for inflation-weary consumers.

Inflation was according to the latest consumer price index report from the Labor Department on Tuesday. Core CPI, a metric that excludes the categories of food and energy that tend to be volatile, hit a two-year low. CFO Richard McPhail said on an earnings call Tuesday.

Even Thanksgiving will be lighter on Americans' wallets compared with last year. mean that the average cost of a dinner for 10 people will be $61.17, down 4.5% from record of $64.05, according to the .

Stubborn inflation has been one of the biggest challenges for retailers, including Walmart, the world's largest retailer. It felt pressure from that again in the fiscal third quarter, . Chief Financial Officer John David Rainey told CNBC that shoppers have waited for items to go on sale before buying them, such as holding out for a Black Friday event.

There's still some time to go before inflation completely eases, however. Across most categories, Americans , according to the latest CPI numbers. Food at home, electricity and haircuts cost more than they did a year ago.

At Walmart, groceries are up by a mid-single-digit percentage compared with last year, but still elevated by the high-teens percentage compared with two years ago, Rainey said.

Walmart's McMillon said some stubborn food prices continue to be a concern.

"The pockets of disinflation we are seeing are helping, but we like to see more, faster," he said.

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