Portman could seek NRSC chairmanship

Sen. Rob PortmanRob PortmanJohn Bolton PAC pours more cash into GOP campaigns Dem campaign arm: Poll numbers slipping for vulnerable Republicans GOP senator jokingly calls Sherrod Brown 'Mr. Vice President' MORE (R-Ohio), one of Mitt Romney’s closest allies in the past year, is considering a bid for the chairmanship of the National Republican Senatorial Committee.

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A source close to Portman said he has been receiving calls over the past few weeks asking him to run. Portman is flattered by the attention but has not made any decision, according to the source.

If Portman decides to pursue the post, it sets up a leadership race with Sen. Jerry MoranJerry MoranOvernight Finance: McConnell fast-tracks IRS bills; WH pushes free college tuition The Trail 2016: New Trump same as the old GOP lawmaker passes on Kansas Senate primary challenge MORE (R-Kan.), who has been quietly lobbying his colleagues for the job.

Senate Republican Leader Mitch McConnellMitch McConnellOvernight Finance: House rejects financial adviser rule; Obama rebukes Sanders on big banks Senators roll out changes to criminal justice bill Sanders is most popular senator, according to constituent poll MORE (Ky.) reportedly wanted rising-star freshman Sen. Marco RubioMarco RubioFive ways Trump will attack Clinton Rubio: Trump has 'improved significantly' House GOP campaign arm accuses '60 Minutes' of trespassing MORE (R-Fla.) to take over the NRSC, but Rubio is not interested.

A source close to Rubio said it is not likely that Rubio will make a play to succeed outgoing NRSC Chairman John CornynJohn CornynFirst US Zika death reported in Puerto Rico Senate confirms Obama's long-stalled ambassador to Mexico Overnight Healthcare: Medicare fight looms on Capitol Hill MORE (R-Texas), who is running to become Senate Republican whip.