However, rather than rush to fill that vacancy, Dombrowski would rather hire the right person.
"I don't have a timeframe," Dombrowski said. "I sat this weekend when I thought the possibility existed [of joining the Red Sox] and started making notes. My family was in Oklahoma visiting the in-laws and their family, so I was home Saturday and Sunday and I was watching baseball, went for a jog, watched baseball games and made notes.
"And I never left the house other than to do that. It was a situation where my pages are a couple of legal-sized pages of things to do. So there's a lot to do be done, and basically a lot for me to come up to understanding what's going on in the organization as quickly as possible. Part of that will be hiring a general manager, a very important part."
Essentially, the GM will be Dombrowski's right-hand man -- the person he will confer with the most.
"But I don't want to rush that right now; I think it's important to get the right person rather than to rush it," Dombrowski said. "When you say the type of person, it's really open-minded to a lot of different things. I think it's important that we would be on the same page; it needs to be a good baseball person. But I don't really have a specific [vision] of, 'This person has to do that,' because I think in a front office, if you're going to have a successful front office, people complement one another.
"So I have my strengths and my weaknesses, this person will have their strengths and weaknesses, and hopefully you can put that group together to cover yourself in all areas. And that's what my goal would be."
How does Dombrowski view the duties of his GM?
"I think the job is a very large job, as far as responsibilities are concerned," Dombrowski said. "There's a lot of work to be done. The Red Sox, in addition to the things I've talked about, they pursue talent all over the world. I think that having a front office that's large, that works together on the same page, will be important.
"I really don't have a specific [thought of], 'This is the leading candidate for a general manager at this time.' They will assist and work with me day in and day out on basically everything. It will be a responsibility that we will share."
Ian Browne is a reporter for MLB.com. Read his blog, Brownie Points, follow him on Twitter @IanMBrowne and listen to his podcast. This story was not subject to the approval of Major League Baseball or its clubs.