The 28-year-old midfielder recently received the armband from Jon Shaw, who continues to be within the playing squad, but has also taken the role of joint assistant manager.
The Mariners returned to action for the first time since their Emirates FA Cup First Round clash in Tuesday's FA Trophy, falling to a 2-1 defeat away to Ashton United.
Speaking to the Pitching Northern Premier League website during lockdown, Briggs says the team are looking to build on their pre-lockdown form.
He said: "The season has just started to get going for us. Before the lockdown we picked up some real momentum which is massive at this level.
"We started slowly but we know we are capable of putting a real run together and the league is really tight at the moment, so it’s all about carrying that momentum on when we return."
The 1st Cloud Arena side progressed to the First Proper Round of the Emirates FA Cup in November, with an impressive display against Cheltenham Town but being knocked out with a 3-1 result.
"The FA Cup run was great to be a part of," said Briggs.
"It takes your mind off the league whilst testing yourself against teams at higher levels. It was a great game against Cheltenham which was full of positives from us to take away as well as some things for us to work on but the lads are full of confidence.
"For the club it brought in some revenue which is great considering the current climate and I know the staff had a great time during the build up and the game."
The skipper also said the squad stayed in touch over the lockdown in anticipation of the league's return.
"The lads have been in touch with each other over the WhatsApp group but also regular phone calls from the management team.
"We have had our training programmes sent through to help us keep the fitness levels high so we can start fast when the season gets going again.
"It’s really tough to train in the dark, cold nights after a long day at work but with the programme it gives you direction. It will never be the same as training as a team and pushing each other but it’s important to keep the levels high."
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