The request comes after Democrats said Thursday that the House of Representatives could send the impeachment charge to the Senate as early as Friday.
Last week, the US House impeached Trump over his support for the attack on the Capitol on Jan. 6 that left five people dead.
Trump was blamed for inciting an insurrection when the lawmakers were busy certifying the victory of Joe Biden in the 2020 presidential election.
The bipartisan effort kicked off in the lower chamber of US Congress in a bid to remove Trump from office before his tenure ended on Wednesday.
Now, Republicans argue that Trump needs time to prepare a defense against the charges and that the House moved quickly on impeachment.