New COVID-19 cases in the U.S. are seeing a "very encouraging" drop, according to The COVID Tracking Project.

The number of weekly cases decreased 21% as of Saturday, the tracker said. There were "more modest but very welcome" drops in COVID-19 deaths and hospitalizations as well.

The seven-day average for cases is back to "pre-Thanksgiving levels," though the group noted there are still nearly three times as many new cases daily compared to the summer peak.

Los Angeles County has crossed 15,000 deaths, with about one-third of those deaths happening in 2021.

Health officials reported 269 deaths in the county on Saturday. LA remains the hardest-hit county in the United States. LA County has more than twice as many cases (1,064,887) as the second-highest in the nation (Arizona's Maricopa County; 444,431, according to Johns Hopkins University).

The county said 5,106 people have died since Dec. 30.

There was a little bit of good news in LA, however, as the county is following national trends of dropping hospitalizations. The number of people in hospitals with COVID-19 dropped under 7,000 for the first time since Dec. 29, according to the health department.

"Many people continue to spread this virus and, tragically, now more than 15,000 people have died from COVID-19 in Los Angeles County," Dr. Barbara Ferrer, the county's director of public health, said in a statement. "While we are seeing some positive data in daily new cases and hospitalizations, we are far from out of the woods. It is critically important we slow COVID-19 spread to decompress the strain on our healthcare system and save lives."

ABC News' Matthew Fuhrman contributed to this report.

Week-to-week comparisons show new deaths and new cases are on the decline nationwide, according to an internal Department of Health and Human Services memo obtained by ABC News.

Thirty-one states and territories are in a downward trajectory of new cases, according to the memo. Twenty states and territories are in an upward trajectory of new cases while five jurisdictions are at a plateau.

The U.S. saw 1,318,915 new cases from Jan. 16 to Jan. 22 -- a 20.3% decrease from the previous week.

There were 21,442 deaths reported from Jan. 16 to Jan. 22, which was a 7.7% decrease from the week before.

The national test-positivity rate also dropped, falling from 11.9% to 10.4% in week-to-week comparisons, the memo said.

ABC News’ Josh Margolin contributed to this report.

Indoor dining resumed in Chicago on Saturday as the city moved to “Tier 1” of reopening “due to recent progress in the fight against COVID-19,” Mayor Lori Lightfoot said.

Indoor dining is limited to 25 people or 25% capacity with tables six feet apart.

All bars and restaurants must close at 11 p.m.

"We have long pushed for the careful resumption of limited indoor dining, and I am thrilled that we have made enough progress … to reopen our businesses and bring workers back," Lightfoot said in a statement, according to ABC Chicago station WLS.

Chicago Public Schools announced Sunday they will postpone the in-person start for kindergarten through eighth grade teachers after the Chicago Teachers Union announced voted over the weekend to continue remote work.

Teachers were scheduled to report to in-person learning on Monday, but that was pushed back to Wednesday, according to CPS. "While we agree with our labor partners on many aspects of a smooth expansion of in-person learning, our discussions are ongoing. To ensure we reach a resolution without a disruption to student learning, we’ve agreed to push back the return of K-8 teachers, staff to Wed, 1/27," CPS said in a statement.

Kindergarten through eighth grade are slated to return to in-person learning on Feb. 1. Pre-K and special education students have been going to in-person classes since the beginning of the month.

In a statement, the union said that there was concern among members regarding the rise in COVID-19 cases and the small number of students who have opted to return to in-person learning.

Chicago Public Schools said 37% of parents surveyed intend for their kids to return, according to ABC station WLS. The union noted that the number of eligible students who can currently return to in-person is also low.

"But the fact of the matter remains this: 19% of students have returned. The district doesn’t need anywhere near all of our membership to return to meet that need," CTU said in a statement.

Some parents who wished to have their children return to class in person took up their pleas directly to the union this weekend.

"Parents should not be vilified or bullied for needing a choice to return to in-person learning," Sarah Sachen told WLS.