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TV insiders have long been convinced Megyn Kelly’s Sunday prime-time NBC News show was being quietly shelved. And Tuesday’s announcement that “Sunday Night With Megyn Kelly” will air “periodically” this spring and summer “dependent on Kelly’s schedule with her weekday-morning program, ‘Megyn Kelly Today,’ ” seems to confirm their suspicions.

One news vet said, “If they don’t know her weekday-morning schedule, maybe ‘TV Guide’ can help. Pretty sure she has a live program Monday to Friday from 9 a.m. to 10 a.m. EST.”

The source said that the statement has the benefit of giving the network a way to scale back the poorly received show without the awkwardness of canceling it.

Last summer, the news magazine was slated for a 10-week run on Sundays, but went off the air after just eight episodes following a sharp drop in ratings. The show — Kelly’s first work for NBC after she signed a balleyhooed $20 million annual deal — proved to be a tumultuous start.

Kelly caused a major controversy by interviewing — and posing for pally selfies with — Sandy Hook massacre denier Alex Jones, who runs Infowars, a YouTube channel and conspiracy-theory website.

Sources have been telling Page Six since January that the Peacock Network appeared to be wavering on what to do with the nighttime show.

On Tuesday, NBC announced that this year’s run would kick off with an interview with Vladimir Putin — Kelly’s second sit-down with the Russian president, who also appeared on the show last summer, to air on Friday.

The interview’s being billed as an NBC News special entitled “Confronting Putin,” rather than as an episode of “Sunday Night With Megyn Kelly.”

But a network insider huffed, “Sounds like your source is the one who needs to check the TV listings. She anchors the 9 a.m. hour of ‘Today’ every morning, has a prime-time hour with Putin this Friday and will be a big fixture at political events as the midterms heat up. That’s as front-and-center as it gets.”