Sen. John Cornyn John CornynAirline job cuts loom in battleground states Senate Republicans signal openness to working with Biden Hillicon Valley: DOJ indicts Chinese, Malaysian hackers accused of targeting over 100 organizations | GOP senators raise concerns over Oracle-TikTok deal | QAnon awareness jumps in new poll MORE (R-Texas) warned on Monday that President Trump's budget may be a non-starter on Capitol Hill, noting lawmakers routinely craft their own legislation.

Cornyn made the comment after he was asked whether a proposed cut to Medicaid in Trump's budget was too steep.

"I just think its a prerogative of Congress to make those decisions in consultation with the president. ... Almost every budget I know of is basically dead on arrival, including President Obama's," the No. 2 Senate Republican told reporters.

Pressed if the"dead on arrival" status also applied to Trump's forthcoming budget, expected to be released on Tuesday, he added, "I think it may find a similar fate, but obviously it's an expression of his priorities, which is important in terms of the conversation between the branches."

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The budget is expected to propose massive cuts to the Medicaid program for the 2018 fiscal year, as well as targeting federal pensions and food stamps. A budget outline released by Trump earlier this year also included deep cuts to the State Department and Environmental Protection Agency.

Republicans are planning to write their own budgets, which don't have to be signed by Trump, and have distanced themselves from some of the administration's proposals.

Cornyn added on Monday that "the Senate and the House substitute their own [proposals], so I would expect that that would carry the day."