President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE on Tuesday denied that he is “cleaning house” at the Department of Homeland Security (DHS) despite a series of shake-ups in leadership at the agency.

“I never said I‘m cleaning house. I don’t know who came up with that expression,” Trump told reporters in the Oval Office during a meeting with Egyptian President Abdel Fattah al-Sisi.

“We have a lot of great people over there,” he added.

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Over the past four days, Trump has withdrawn his nominee to lead Immigration and Customs Enforcement (ICE), announced the resignation of DHS Secretary Kirstjen Nielsen Kirstjen Michele NielsenDHS IG won't investigate after watchdog said Wolf, Cuccinelli appointments violated law Appeals court sides with Trump over drawdown of immigrant protections Democrats smell blood with new DHS whistleblower complaint MORE and ousted the head of the Secret Service.

Trump named Customs and Border Protection (CBP) head Kevin McAleenan as the new acting DHS secretary, leaving CBP without a full-time director.

He has yet to put forward a new nominee for ICE, but told reporters he wants to go in a "tougher direction."

White House senior adviser Stephen Miller, one of the administration's most prominent immigration hawks, has reportedly pushed for other changes at DHS. The agency is also without a deputy secretary.

Several lawmakers have taken issue with the rapid turnover atop the sprawling agency, which oversees immigration enforcement, emergency management, cybersecurity and terrorism prevention.

Sens. Mitt Romney Willard (Mitt) Mitt RomneySenate GOP aims to confirm Trump court pick by Oct. 29: report The Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting Senate GOP sees early Supreme Court vote as political booster shot MORE (R-Utah) and Chuck Grassley Charles (Chuck) Ernest GrassleyCollins says she will vote 'no' on Supreme Court nominee before election The Hill's Morning Report - Sponsored by Facebook - Trump, GOP allies prepare for SCOTUS nomination this week Gardner signals support for taking up Supreme Court nominee this year MORE (R-Iowa) are among those who have voiced concerns about the vacancies at DHS, and have urged against further changes in the immediate future.

The president, who has intensified his focus on curbing illegal immigration at the southern border in recent weeks, railed Tuesday against congressional Democrats and a federal judge’s ruling from a day earlier that blocked the Trump administration’s policy of having some asylum seekers remain in Mexico while their case is processed in the U.S.

“We’re fighting the bad laws, the bad things that are coming out of Congress,” he said. “All they have to do is spend 20 minutes and we could fix this whole problem. We have the worst laws of any country anywhere in the world.”

Trump expressed a desire to do away with or reform the country’s asylum system and programs such as the visa lottery and so-called chain migration. The latter program allows U.S. citizens and legal permanent residents to petition the government for their close relatives to immigrate to the country.

--Updated at 1:39 p.m.