A recent article says you have nothing to lose negotiating for a better offer, if you are entertaining going to a new employer.
I wound insert a caveat to that: “only if the offer is less than what you had originally indicated you were seeking”.
Trying to “up the ante” at the end of the process, will not endear you to your new management team.
Linkedin has 60 million members, its site had $17Mil visitors in February, the average member makes $107k, and more than 25% are senior execs.
Every Fortune 500 company is represented.
Oracle found their new CFO (2008) via Linkedin.
Someone, too, may be reaching out to you!