ABC says Giffords and retired astronaut Mark Kelly will speak during the interview about a new initiative they're launching. The network didn't specify what the initiative would aim to do.
A call to a Giffords spokeswoman wasn't immediately returned Sunday.
The interview by anchor Diane Sawyer will air at 6:30 p.m. EST Tuesday.
Giffords and Kelly met Friday with the families of victims in last month's shooting in Connecticut that left 26 people dead inside an elementary school. The couple met earlier in the week with New York Mayor Michael Bloomberg, a longtime gun control advocate.
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