Johnson County District Attorney Steve Howe announced back on April 24 that after weeks of investigating child abuse accusations, he could not charge Hill or his fiance, Crystal Espinal, with a crime.

Then, after disturbing audio -- which appeared to show Hill and his fiance arguing over their son's injuries -- leaked a day later ... KCTV (which had been leading the Hill coverage) said the DA had re-opened its investigation.

Several attempts to confirm those reports with Howe and his office were met with, "We have no comment at this time," responses.

But now, Howe appears to be saying prosecutors NEVER reopened the probe, telling The Kansas City Star, "It is not an active investigation,” and adding that comments he made at his April 24 news conference "still hold true."

It's big news for Hill -- as the Kansas City Chiefs only decided to suspend Tyreek after reports said the criminal investigation had been reopened after the audio files leaked.

In fact, head coach Andy Reid himself appeared to be under the impression the investigation was reopened, telling that to reporters at a pre-draft press conference in April.

But, it appears that was never the case, with Hill's attorney, Trey Pettlon, telling the K.C. Star, "It’s my understanding the criminal investigation has been closed for quite some time now."

"And obviously there’s been some misinformation about that, but it is closed.”

As for Hill's future, he still has an active case ongoing with the Kansas Department for Children and Families ... and Roger Goodell says he is still waiting to interview the WR over the allegations.