National Republican Senatorial Committee Chairman John CornynJohn CornynAfter Texas shooting, lawmakers question whether military has systemic reporting problem Overnight Defense: Lawmakers question military's lapse after Texas shooting | Trump asks North Korea to 'make a deal' | Senate panel approves Army pick Overnight Regulation: House passes bill to overturn joint-employer rule | Trump officials to allow work requirements for Medicaid | Lawmakers 'alarmed' by EPA's science board changes MORE (Tex.) told reporters that the organization will anoint a candidate to challenge Senate Majority Leader Harry ReidHarry ReidTop Lobbyists 2017: Grass roots Boehner confronted Reid after criticism from Senate floor GOP in uncharted territory rolling back rules through resolutions MORE (D) in 2010.

According to the Las Vegas Sun, Cornyn told a group of reporters "We don't have a candidate yet...We're working on it. There'll be hopefully some news here in the coming weeks."

Cornyn's announcement, while unspecific, has heightened the speculation surrounding which potential challenger the NRSC will choose. Rep. Dean HellerDean Arthur HellerBipartisan group of lawmakers aim to reform US sugar program Dem donor on MSNBC: 'Hopefully we'll get our sh-- together' The Hill interview — DNC chief: I came here to win elections MORE is rumored to be the top choice amongst Nevada Republicans. But with Heller staying mum, Republican state Sen. Mark AmodeiMark Eugene AmodeiOvernight Finance: House passes .2T funding package for 2018 | FTC launches Equifax probe | Mnuchin defends honeymoon jet request | House scraps measure to boost credit union regulator oversight Trump’s EPA budget cuts hit strong opposition at House panel MORE visited Capitol Hill this week and told the Sun early last month "If Dean doesn't, I'll consider it."

Republicans might not be in a rush to appoint a candidate to run against Reid, whose approval ratings have dipped below 40 percent. But Republicans are still watchful that the NRSC chooses a candidate who has a strong chance to unseat the four-term Senator next year.