(CNN) There has been a concerted effort among aides and allies to get President Donald Trump to stop conducting the daily coronavirus briefings, multiple sources tell CNN.

After weeks of briefings that sometimes last more than two hours, there is some agreement in the West Wing that some of the news conferences have gone on too long, resulting in a situation where Trump and administration officials simply run out of coronavirus-related questions . The result, aides have noticed, is that the briefings stray into politics instead of the matter at hand.

Friday's coronavirus task force news briefing was the shortest since the pandemic began, clocking in at 22 minutes. Trump had also taken questions from the press while signing a coronavirus relief spending bill earlier in the day. The previous shortest briefing was 32 minutes.

The briefing came a day after Trump had given a lengthy briefing to the media, at one point suggesting it might be possible to treat coronavirus by injecting people with sunlight or disinfectants. The President was heavily criticized for the dangerous suggestion that disinfectants be put into the human body, with the maker of Lysol -- a leading cleaning disinfectant -- asking the public to not put its product into their bodies.

"I see the disinfectant -- where it knocks it out in a minute, one minute. And is there a way we can do something like that, by injection inside or almost a cleaning?" Trump asked White House coronavirus task force coordinator Dr. Deborah Birx during Thursday's briefing.

Many close to him believe the daily briefings hurt him more than they help him, with Thursday's episode being the prime example. The White House spent the last 24 hours attempting to clean up remarks from the President that researchers should look into injecting people with disinfectant or ultraviolet rays to cure coronavirus.

A source close to the coronavirus task force said Trump was upset about the "flack" he was taking after those comments and that appears to be part of the reason why the President cut Friday's briefing short. During the earlier questioning from reporters on Friday, Trump said he was being "sarcastic" with his suggestion that people inject themselves with disinfectant, even though he was clearly being serious during Thursday's briefing.

One White House official said they asked the President to stop conducting the daily briefings last week but he resisted. Another ally told CNN that this concern is not new among those close to him.

And a separate Trump ally told CNN that Thursday's briefing is exactly what they were worried about when they begged him not to have such long and freewheeling press conferences -- that one day he would just say something completely off the wall and off the rails.

Some White House aides also view an eventual phasing-out of the briefings as a sign from Washington to the country that life is slowing returning to normal. They see the briefings as a set-piece of the crisis era, which Trump is desperate to see end.

Trump has tacitly acknowledged his briefings have become substitutes for the political rallies he's forgone because of the outbreak. In private, Trump has itched for a return of rallies or at least some type of event out in the country to break up the monotony of the daily briefings. Pence has visited manufacturing plants, something Trump has told aides he'd also like to do soon.

He said last week that walking into the briefing room -- where reporters are spread apart and only a few technicians are allowed to operate cameras -- isn't the same.

"I'm looking at this room and I see all this -- it loses a lot of flavor," he said. "It loses, to me, a lot of flavor."

Just before Friday's briefing, the White House attempted to remove CNN's reporter covering the briefing from her assigned seat. The White House Correspondents' Association makes seat assignments for the briefings, as it has for decades, and the White House does not have input into the seating arrangement.

The source close to the task force said questions have been raised internally about who gets to sit where in the briefing room. There are also questions about who gets to decide the social distancing seating arrangement, and whether the White House or the White House Correspondents' Association should decide seating arrangements.