The Biden administration declined to offer any new information Thursday regarding the bag of cocaine discovered on White House grounds over the weekend.

The United States Secret Service is currently conducting an investigation into the matter. President Joe Biden's critics, including former President Donald Trump, have speculated that the bag belongs to Hunter Biden, the president's son, who is a recovering addict and frequently visits the White House.

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Reporters repeatedly questioned White House deputy press secretary Andrew Bates on the topic during a flight with the president to South Carolina Thursday morning, but Bates would not commit to making public the results of the Secret Service's investigation or definitively say if the bag "belonged to either the president or his son.

"I don't have a response to that because we have to be careful about the Hatch Act," Bates said when asked about claims Trump made on Truth Social.

Bates countered that "there does seem to be some increasing frustration coming from that corner, in general," due to the "contrast between their substantive policy records."

"Does anybody really believe that the COCAINE found in the West Wing of the White House, very close to the Oval Office, is for the use of anyone other than Hunter & Joe Biden?," Trump posted on Truth Social. "But watch, the Fake News Media will soon start saying that the amount found was 'very small,' & it wasn’t really COCAINE, but rather common ground up Aspirin, & the story will vanish."

Trump additionally asked if Jack Smith, "the crazy, Trump hating Special Prosecutor," had "been seen in the area of the COCAINE?" and claimed that Smith "looks like a crackhead."

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Sources familiar with the investigation told Politico Wednesday that the Secret Service does not expect to identify the person who brought the bag to the White House.

You can listen to Thursday's gaggle in full below.