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.

California's top epidemiologist has recommended pausing the administration of COVID-19 vaccines from Moderna's lot 041L20A due to "possible allergic reactions" that are under investigation.

"A higher-than-usual number of possible allergic reactions were reported with a specific lot of Moderna vaccine administered at one community vaccination clinic," Dr. Erica Pan, state epidemiologist for the California Department of Public Health, said in a statement late Sunday night. "Fewer than 10 individuals required medical attention over the span of 24 hours. Out of an extreme abundance of caution and also recognizing the extremely limited supply of vaccine, we are recommending that providers use other available vaccine inventory and pause the administration of vaccines from Moderna Lot 041L20A until the investigation by the CDC, FDA, Moderna and the state is complete."

The California Department of Health said all of the affected individuals appeared to be experiencing "a possible severe allergic reaction during the standard observation period," which the U.S. Centers for Disease Control and Prevention says some people have experienced when receiving a COVID-19 vaccine.

More than 330,000 doses from that specific lot have been distributed to 287 providers across the state, with the shipments arriving between Jan. 5 and 12, according to the California Department of Public Health, which said it has not been notified of any other cluster or individual events related to this lot.

When asked for comment, a spokesperson for Moderna told ABC News: "Moderna acknowledges receiving a report from the California Department of Public Health (CDPH) that a number of individuals at one vaccination center in San Diego were treated for possible allergic reactions after vaccination from one lot of Moderna’s COVID-19 Vaccine. The company is fully cooperating with CDPH in investigating these reported adverse events. Consistent with the statement from CDPH, at this point Moderna is unaware of comparable adverse events from other vaccination centers which may have administered vaccines from the same lot."

ABC News' Sony Salzman contributed to this report.