WASHINGTON (CNN) -- Acknowledging he is strongly considering a second run for the White House, former Democratic vice presidential nominee John Edwards said Thursday his decision to run again will not be influenced by his 2004 running mate John Kerry or Democratic frontrunner Hillary Rodham Clinton.

"No one else's decision will influence me," Edwards, a former North Carolina senator, told Wolf Blitzer on 'The Situation Room.' "What will influence me is making sure my family is OK, and secondly, what I believe in my best judgment is best for the country."

Sen. Kerry of Massachusetts and Sen. Clinton of New York are also considering running for the 2008 Democratic presidential nomination.

Edward's choice not to subject his decision to John Kerry's future plans is markedly different than that of Sen. Joe Lieberman, D-Connecticut. Lieberman, the 2000 Democratic vice presidential nominee, said he would not run for president in 2004 if his former running mate -- former Vice President Al Gore -- decided to run again.

Edwards said he would make a decision on his political future in the next few months.