The judge granted the change to the bond conditions set in January because Moorer has a job interview in Orlando, Florida on August 10.
He also allowed the couple to seek employment in South Carolina and neighboring states for two week periods while under electronic GPS monitoring.
Heather Elvis's father, Terry Elvis, was visibly upset at the close of Thursday's hearing.
Solicitor Jimmy Richardson said he meets with the Elvis family regularly, but did not talk to them before the hearing.
"I probably could have done a better job of making them aware of what was going on today. They're fine, they're fine now. We've talked about everything," Richardson said.