Former Obama campaign strategist David Axelrod argued that Sen. Marco RubioMarco RubioThe private alternative to the National Flood Insurance Program  Cruz offers bill to weaken labor board's power Overnight Finance: GOP offers measure to repeal arbitration rule | Feds fine Exxon M for Russian sanctions violations | Senate panel sticks with 2017 funding levels for budget | Trump tax nominee advances | Trump unveils first reg agenda MORE (R-Fla.) has to walk a fine line to win both the Republican nomination for president and the general election if he decides to run in 2016.

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Axelrod, speaking in an interview with the left-leaning Juncture magazine, cited Rubio's decision to vote against reauthorizing the Violence Against Women Act (VAWA).

"I recently saw the Hispanic Republican senator, Marco Rubio, on television," Axelrod said in the interview, released Friday. "Earlier that day he had been one of the 20 to vote against the Violence Against Women Act in the Senate. It is hard for me to see how someone gets elected as the president of the United States making those votes, but also hard for me to see how someone wins the Republican nomination without making those votes."

Rubio was one of 22 Republican senators that voted against the VAWA reauthorization in February. Rubio objected to the final bill because, he said, it "would mandate the diversion of a portion of funding from domestic violence programs to sexual assault programs, although there’s no evidence to suggest this shift will result in a greater number of convictions."

Rubio has been active in supporting causes supported both by Tea Party Republicans as well as working on bipartisan initiatives. The senator from Florida recently joined in Sen. Rand PaulRand PaulOvernight Healthcare: CBO predicts 22M would lose coverage under Senate ObamaCare replacement Fox News personality: GOP healthcare plan says ‘ideology is less important than victory' Rand Paul opens door to backing healthcare bill on key hurdle MORE's (R-Ky.) filibuster of John Brennan for CIA director. Rubio has also participated in bipartisan effort to pass a big immigration reform bill.