The US Department of Justice says releasing details about the warrant to raid Donald Trump's Florida home last week could cause "irreparable damage" to its investigation.
It wants to keep the affidavit - a court document filed to get the warrant - under wraps.
FBI agents searched Mar-a-Lago to find out if Mr Trump improperly handled government records when he left office.
It was the first time an ex-president's home was raided in a criminal probe.
Eleven sets of classified files were recovered from the search one week ago at the estate in Palm Beach, according to the warrant, which was released on Friday.
Now, several news organisations have applied to have the affidavit - the sworn evidence used to justify the raid - unsealed.
But prosecutors said on Monday that such a move would "cause significant and irreparable damage to this ongoing criminal investigation" - despite having backed the release of the less-detailed warrant.
"If disclosed, the affidavit would serve as a roadmap to the government's ongoing investigation, providing specific details about its direction and likely course, in a manner that is highly likely to compromise future investigative steps," they wrote in a court filing.
They also said the affidavit must stay sealed because the inquiry involves "highly classified materials".
On Monday, Mr Trump said the FBI took three of his passports during the raid, a step that would ordinarily only be taken if investigators deemed a suspect a flight risk.
"This is an assault on a political opponent at a level never seen before in our Country. Third World!" Mr Trump posted on his social media platform, Truth Social.
The justice department did not immediately respond to a request for comment from the BBC.
The FBI search has triggered an angry backlash from Trump allies, with many demanding the affidavit be publicly unveiled.
EXPLAINED: What we do and don't know about Trump searchCONTEXT: Could the investigation stop him running in 2024?
Republican Senator Mike Rounds told NBC on Sunday: "The justice department should show that this was not just a fishing expedition, that they had due cause to go in and to do this, that they did exhaust all other means."
Congressman Jim Jordan, an Ohio Republican, told Fox News that 14 FBI agents had come forward to him to blow the whistle on purported politicisation at the justice department.
Search warrants typically must be signed off by a judge, once prosecutors have demonstrated they have probable cause to believe a crime has been committed.