Senate Republicans on Sunday indicated resistance to rushing a vote on the GOP proposal to repeal and replace ObamaCare before the July 4 recess.

Lawmakers said they need more time to analyze and amend the bill. Senate Republicans just released a draft last Thursday, but Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellDemocratic senator to party: 'A little message discipline wouldn't kill us' House to vote on resolution affirming peaceful transition of power Republican lawyers brush off Trump's election comments MORE (R-Ky.) has been pushing the upper chamber to vote on the legislation next week.

But the Senate's healthcare legislation currently does not have enough support to pass, according to The Hill's Whip List. McConnell has little margin for error, as he can afford just two defections from his conference with all Democrats expected to oppose the bill. Vice President Pence could then be called in to break the tie.

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Among those flatly opposed to the current bill are Sens. Rand Paul (R-Ky.), Ted Cruz (R-Texas), Ron Johnson (R-Wis.), Mike Lee (R-Utah) and Dean Heller (R-Nev.).

Sen. Ron Johnson Ronald (Ron) Harold JohnsonThe Hill's Morning Report - Sponsored by Facebook - Trump previews SCOTUS nominee as 'totally brilliant' The Hill's 12:30 Report: Ginsburg lies in repose CHC leaders urge Senate to oppose Chad Wolf nomination MORE (R-Wis.) — who identified his opinion as "not a yes yet" on the Senate healthcare bill — on Sunday said the Senate should not be voting on healthcare this coming week.

"We don't have enough information. I don't have the feedback from constituencies who will not have had enough time to review the Senate bill," he said on NBC's "Meet The Press."

"We should not be voting on this next week," he insisted.

He said he would like to delay the healthcare vote. He added he's been encouraging leadership and the White House not to "rush" this process.

"Let's have the integrity to show the American people what it is, show them the truth," he said.