No senators have said they would slow down the stimulus package. But the GOP leader had to cut deals with members of his own caucus on the previous two stimulus packages in order to let them skip over procedural hurdles.

Sen. Rand Paul (R-Ky.) forced amendment votes on the two previous coronavirus packages, putting him as a potential early hurdle for McConnell.

The GOP senator announced on Friday that he would introduce his own coronavirus bill that includes a 60-day payroll tax holiday and would replace paid sick leave with expanded unemployment insurance.

“The national emergency we face may be new, but the answers out of Washington have so far been the same: more spending, more debt, and more mandates on the American people,” Paul said.
https://thehill.com/homenews/senate/...-stimulus-bill

The Senate is in session today. Not sure if Rand will get the chance to introduce his bill today or tomorrow.