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Story highlights

Sen. Tim Kaine moved to dispel concerns from the left as he voiced his support for abortion rights

Kaine is Catholic and personally opposes abortion -- but he says he supports a woman's right to choose

(CNN) —  

Virginia Sen. Tim Kaine says that he’s a staunch backer of abortion rights, remarks that could dispel concerns from the left as Hillary Clinton considers him as a possible running mate.

In an interview in the Capitol, Kaine – a Catholic who personally opposes abortion – says his views on the issue have not changed over his career. But asked if he would characterize himself as “pro-life,” he said: “I’ve never embraced labels.”

“I have a traditional Catholic personal position, but I am very strongly supportive that women should make these decisions and government shouldn’t intrude,” Kaine told CNN. “I’m a strong supporter of Roe v. Wade and women being able to make these decisions. In government, we have enough things to worry about. We don’t need to make people’s reproductive decisions for them.”

RELATED: Tim Kaine might be Clinton’s man for the moment on guns

Kaine’s comments come as Clinton’s VP selection process is entering its final stretch, with an announcement expected next week after the Republican National Convention concludes.

As a former governor who speaks Spanish and hails from a Southern state, Kaine is quickly emerging as a favorite among many Democrats on Capitol Hill, who believe that he would have bipartisan appeal and could campaign for candidates in conservative districts.

Yet, some liberals remain wary given that his politics are more moderate on issues such as trade and abortion than other potential VP contenders.

Kaine, who stumped with Clinton Thursday in Annandale, Virginia, lashed out at presumptive Republican nominee Donald Trump as he showcased his appeal as a potential running mate.

“I predict after this whole thing is over, what we’ll remember about the failed candidacy of Donald Trump is, ‘You’re fired,’” he told supporters.

RELATED: David Brat mulling run for Senate should Tim Kaine be tapped as Clinton’s running mate