The Alabama senator's remarks came during the GOP's weekly media address Saturday, The Hill reported.
Sessions said he believes the national debt is slowing the economy, and that a balanced budget and an end to the deficit can be reached by capping annual spending growth at 3.4 percent.
"But I fear the Democrat proposal will fail this defining test and will never achieve balance. I fear it will crush American workers and our economy with trillions in new taxes, spending and debt," said Sessions, the top Republican on the Senate Budget Committee.
"I fear Chairman Murray will follow the president's lead: raising taxes to enrich the bureaucracy at the expense of the people," Sessions said, referring to Senate Budget Chairwoman Patty Murray, D-Wash.
Senate Democrats formally present their budget plan on Wednesday. Meanwhile, House Budget Committee Chairman Paul Ryan, R-Wis., will unveil the House Republicans' budget plan within the next week.
"Government has never been bigger or more out of control. They say there is no problem with waste, fraud, and abuse; they say the problem is you; they say you are not sending them enough money; they say they have wisely spent every penny. So, you must just send them more. And, if you don't? Well, they won't stop spending, they'll just borrow more," Sessions said.
"These destructive policies cannot continue. We are at the breaking point."