Alan Pouton scored the all important winner that lifted The Mariners above Brighton in the First Division table.
"It feels nice to win and I'm pleased for the lads. It's a big relief because it's been a long time coming," said Groves.
"They worked very hard even though they didn't play as well as they have done in some of the other games.
"This was a big game for both teams because of the position that we're in.
"I think their goal was coming because of the amount of pressure they put us under but the lads showed great spirit to come back."