Nottingham's Froch, 36, retained his WBA and IBF titles with a ninth-round stoppage of Groves in November.
But Londoner Groves, 25, complained the Manchester fight was ended too soon.
Froch admitted he considered retirement "for two or three days" following the fight but now says he cannot wait to return to the ring and "do a job" on Groves."A rematch is the last thing he should want to do," Groves told Sportmasta Radio 5 live. "There's nothing for him to cling onto to take to the next fight."
The bout is the biggest rematch in British boxing since Chris Eubank fought Nigel Benn for a second time at Old Trafford in 1993.
There were bitter recriminations in the wake of the first fight between Froch and Groves at the Manchester Arena.
Groves led on points after flooring the champion in round one but referee Howard Foster stepped in to halt proceedings when Froch went on the attack in round nine.
With Froch angling for a rematch with American Andre Ward or a fight against Mexican Julio Cesar Chavez Jr in Las Vegas, it looked as though Groves might have to wait for his chance to avenge the loss.
He initially rejected a "seven-figure" offer from Froch's promoter Eddie Hearn for a rematch, claiming there were too many "stipulations".
But last month, the IBF ordered Froch to fight Groves again within 90 days or risk losing his belt.
"He's made a terrible mistake taking a rematch with me," added Groves.
"There's no positives to take from the last fight if he breaks it down technically. All he can do is train harder and run the risk of overtraining."
But Froch said he was "motivated and excited" about the rematch against his former sparring partner.
"When he first turned pro I was helping him out in the gym so I couldn't look at him as a serious threat, but that's gone now," added Froch.
"Now I know he's a threat. He's got my attention. I'm in a totally different frame of mind for the rematch."
Froch-Groves II is expected to break the box-office record for a British fight, with Old Trafford in Manchester and Arsenal's Emirates Stadium suggested as possible venues.
Hearn said he wanted more than 80,000 people to be at the fight.
The record attendance for a post-World War II boxing show was for Ricky Hatton's fight against Juan Lazcano, which drew 55,000 fans at the City of Manchester Stadium in 2008.
Froch told Sportmasta Today he wants the rematch to be at Nottingham Forest's City Ground.
He said: "I am trying to get it on at the City Ground because there are two things I want to do before I retire; one is fight at the City Ground and the other is fight on the Vegas strip.
"But one fight at a time, and if I can get this fight at the City Ground, that would be phenomenal.
"We don't like each other, let's make no bones about it.
"It is quite personal and when you have a domestic fight where two people don't like each other, they have already boxed and it could have gone either way, and the stoppage was a bit ropey, it just makes for a massive event."
Froch's victory in the first fight took his career record to 32 wins from 34 fights, while defeat for Groves was his first in 20 professional outings.