Swindon chairman Jeremy Wray says he will resign if a controversial deal to sign goalkeeper Luke McCormick damages the club's reputation.
McCormick, now 28, was jailed for seven years and four months in 2008 for killing two young boys in a car crash while drink-driving.
The former Plymouth goalkeeper is expected to be freed from Leyhill Prison next month and Swindon have offered him a trial, with a view to winning a permanent contract.
But the offer has angered the family of Arron Peak, 10, and his brother Ben, eight, who died in the collision on the M6 in Staffordshire in June 2008.
The boys' mother, Amanda Peak, told the Sun that Swindon's decision "was like a kick in the stomach".
"Swindon might be a family club but now they are hiring a man who has torn my family apart," she told the newspaper.
Wray, Swindon's interim chairman, who said McCormick had been training on day-release with the club since January, said he would resign if the decision damaged the club's reputation.
He told BBC Wiltshire: "I'm not going to jeopardise the club's position on this. I'm not going to allow the reputation of the club, that we've worked so hard to build up, to be hurt by this. In terms of a principle, I absolutely would resign."
McCormick was twice the drink-driving limit when the crash happened as he was returning from former team-mate David Norris's wedding in Bolton.
Arron and Ben were travelling to Silverstone racetrack for a dream day out with their father Phil Peak and three friends when their Toyota Previa people carrier was hit by McCormick's black Range Rover at 5.44am on June 7 2008.