(CNN) -

Massachusetts Gov. Deval Patrick seemed to inch forward Thursday in his thinking about possibly running for president.

"Maybe, but not right away," he said on CNN affiliate WCVB in Boston, when asked about a potential run. "I'm not being cute ... There are a lot of people who have asked me to think about it."

"I am under no illusions. It's a huge decision, not just for me but for my family," the Democrat continued.

In the interview, Patrick touted what he would bring to the table, citing a "pretty good management record" as governor that includes his state's rankings in education, health care coverage, as well as his management of the Boston Marathon bombings last year.

Patrick, whose second term ends in 2015 and who's not seeking re-election, has previously said that now isn't "the time that's right for me."

"I may yet run," he told CNN's Candy Crowley in May. "There was all this speculation because a whole lot of people said you really ought to think of that. And I appreciated that, and I said publicly that I've been asked by a lot of people to think about that."