About 30 homes were evacuated on 1 December with some residents moved to hotels.
Mr Price said it would be “nice to get back home” and get the “heating and television” working again.
He added he was relieved, saying it looked like all residents would be home for Christmas.
“We have been worried but we had a meeting last night with the local authority and they have assured us that it will be safer now than it’s ever been,” he said.
Merthyr council said on Wednesday that a 6ft (1.8m) steel pipe has been inserted into the existing culvert to support the flow of any overflow water going through it.
The hole was at its largest on Wednesday morning – estimated to be about 40ft (12m) deep and 33ft (10m) – but engineers reiterated the site was now safe.
Engineers now plan to temporarily fill the hole with stone before coming up with a more permanent plan in the new year.
Brent Carter, leader of Merthyr Tydfil council said: “Residents have been fantastic and really supportive. Everyone is desperate to come home for Christmas.”
“The site is as secure as it possibly can be. The culvert is in very good shape. Everything is looking good.”
