WASHINGTON — Uncle Sam is putting out an urgent call for a platoon of baby sitters who can help deal with the crushing influx of children illegally crossing the border.

With thousands of unaccompanied children making the dangerous trek into the United States from Central America through Mexico, the Bureau of Customs and Border Protection is looking to bring in temporary workers to help process them.

The bureau is seeking workers with training in emergency medicine and non-emergency health care, “child care or juvenile teaching and/or counseling,” according to a June agency memo.

The memo, obtained by TheBlaze website, seeks Border Patrol agents willing to fill temporary 30-day duty on the Tucson, Ariz., border in order to staff a processing center 24 hours a day “for the foreseeable future.”

It notes that the “primary demographic” of those being housed at a processing center in Nogales, Ariz., are “females and UACs” — unaccompanied children. “Therefore, agents that are best equipped to interact with the above demographic are being ­requested,” the memo says.

Thousands of immigrants from Central America have been crossing into Texas illegally at an escalating rate. The number of children pouring in from the region is expected to hit 50,000 this year.

“It’s a humanitarian disaster,” Sen. John Cornyn (R-Texas) told The Post.

Cornyn said the Border Patrol is inundated.

“They’re playing catchup, but there’s no end in sight,” he said. “The trajectory of the number of people who are being attracted by this impression that we won’t enforce our laws is escalating all the time.”

Cornyn said the number of immigrants from the region could exceed 100,000 by next year and called on President Obama to urge immigrants not to come here.

“Don’t come — don’t even start on this long, dangerous, treacherous path on the beast through Mexico into the United States,” Cornyn advised.

GOP lawmakers argue that Obama’s decision to stop deporting children who were brought here illegally is acting as a huge magnet for new child immigrants.

Republicans are clamoring for more border enforcement and urging that a comprehensive ­immigration deal be put on hold until the border is secure.

The Senate Appropriations Committee has voted to nearly double, to $2 billion, the amount the administration can spend to provide care for the immigrant children.