Senate Republicans must "stand our ground" against their Democratic counterparts in next week's federal spending showdown over ObamaCare, Sen. Ted CruzTed CruzTrump to speak at CPAC Trump to interview four candidates for national security adviser Milo Yiannopoulos to speak at CPAC MORE (R-Texas) said Sunday.  

House Republicans scored a "tremendous victory" on Friday, Cruz said, when GOP members approved legislation to defund ObamaCare, as part of a plan to avoid a government shutdown in October.

"It is now our turn to unify our stand with [House] Republicans," Cruz said during an interview on "Fox News Sunday."

"I think we should stand our ground" against ObamaCare," he added.

Cruz has drawn harsh criticism from rank-and-file House Republicans, who accused the likely presidential hopeful of picking a political fight with Senate Democrats he will more than likely lose.

The rift highlights the desire by GOP lawmakers to avoid blame for any shutdown that occurs because of demands to kill ObamaCare.

Sen. Claire McCaskillClaire McCaskillJuan Williams: Senate GOP begins to push Trump away Dem senator: I may face 2018 primary from Tea Party-esque progressives Dems ask for hearings on Russian attempts to attack election infrastructure MORE (D-Mo.) said Cruz's political play in the Senate is more about the looming 2016 presidential race than it is about preventing a government shutdown.

Lawmakers should not "throw tantrums when we lose elections," McCaskill said Sunday, regarding repeated House GOP efforts to kill ObamaCare.

"This is about running for president for Ted Cruz," not a desire to stave off a potentially devastating shutdown, she added during an interview with Fox News.

Cruz declined to respond to McCaskill's comments but did accuse Senate Majority Leader Harry ReidHarry ReidIf Gorsuch pick leads to 'crisis,' Dems should look in mirror first Senate confirms Mulvaney to be Trump’s budget chief Democrats declare victory after Puzder bows out MORE (D-Nev.) of using "brute political power" to derail the House measure in the upper chamber.

Senate Republicans on Monday will begin eyeing amendments and a possible cloture vote to the Senate version of legislation to avoid a government shutdown, Cruz said.

If Republicans fail to push the House version of the bill through the Senate, Cruz reiterated his support on Sunday for a military-only funding measure in the House.