Fairclough has returned to the helm after Ian Hendon was sacked in midweek following the 1-0 defeat at Accrington which left the Bees in relegation danger.
The Bees have lost their last five games and Grimsby are now just four points behind with two games to go. Fairclough needs a point on Saturday to guarantee survival and send the Mariners into non-league football.
Hyde has missed the last three games with an ankle injury but could return while defender Ismail Yakubu remains sidelined with his back problem.
Fellow defender Daniel Leach is struggling with food poisoning but Gary Breen - who will continue as assistant manager - is fit to play.