The president has already been briefed on the hurricane and, according to the White House, is continuing to closely monitor the storm as he travels to Camp David for the weekend.
During today's press briefing, White House Press Secretary Sarah Sanders said the president intends to travel to Texas early next week.
The president has also phoned Texas Gov. Greg Abbott and Louisiana Gov. John Bel Edwards, committing to providing assistance as necessary.
Bossert told reporters today that the White House is contemplating issuing an emergency declaration and was under the impression that Gov. Abbott has already made a formal request to FEMA.
Bossert added that if the conditions were met and it is "appropriate to provide federal assistance," he believed Trump would be "very aggressive" in declaring it a disaster.
The Department Homeland Security is still without a permanent secretary after Trump appointed its former head to be his chief of staff. According to the Washington Post, Trump's nominees for two top positions in FEMA, the deputy administrator and the deputy administrator for protection and national preparedness -- have not yet been confirmed either.
During Thursday's briefing, Sanders batted down potential concerns.
"There's certainly someone at the helm. We have acting Secretary Elaine Duke who's watching this closely, very involved in the process," Sanders said.
Bossert reiterated today that "we couldn't have a better team...under that leadership team at DHS" and "we're in good hands on the federal level."
Trump has tweeted three times so far about the hurricane; his first tweet on Thursday was a reminder to plan ahead, including a video of his August 4 visit to FEMA headquarters for a briefing on hurricane season.
FEMA Administrator Long urged people in the path of the storm to heed warnings and to take evacuation orders seriously.
"This may be the first major landfall hurricane we've had since 2005," Long said in an interview on "Good Morning America" Friday. "So there's going to be damage."
Natural disasters are frequently a test with political ramifications for sitting presidents, as the nation looks to its leader for inspiration and strength in trying times.
President Trump may face an uphill battle when it comes to the public's opinion of his ability to handle a crisis: 52 percent of Americans said they do not trust Trump during a crisis, according to an ABC News/Washington Post poll from April, which was 100 days into Trump's presidency.
ABC News' Katherine Faulders and Jordyn Phelps contributed to this report.