Dulwich Hamlet have swooped to sign the defender as manager Gavin Rose puts his foot down.
The south east Londoners added Kieran Monlouis from Hemel on Wednesday.
That came after defender Ryan Case joined the club from Oxford City earlier this week.
Ex-Wealdstone duo Christian Smith and Jeffrey Monakana signed up on Monday meaning the club’s squad is really starting to take shape.
Welling chairman Goldberg was named the club’s new manager this week.
“We need to work with a budget that is more sustainable than that with which we operated with last year and does not put the club at risk,” he explained.
“Following Steve King’s departure we have looked at a number of options but feel that at this moment in time it is prudent to make better use of the resources available to us within the club’s hierarchy.
“With this in mind we have made the decision to appoint Garry Fiore as Director of Football to work closely with me so I can assume more of the football team management responsibilities whilst I still remain as chairman.”