Last Sunday’s match at Sheffield United was postponed due to a frozen pitch, leaving the U’s second from bottom in the table but with one game in hand on Norwich above them.
Bloomfield has been out of work since he was sacked as Luton boss in October.
The former Wycombe midfielder began his managerial career at Cambridge United before taking over from Gareth Ainsworth at Adams Park in 2023.
After leading the Chairboys to the League One automatic promotion places amid the challenge of big-spending Birmingham City and Wrexham, he left the club to take over at Luton in January.
But Bloomfield was unable to prevent the Hatters from suffering back-to-back relegations to the third tier and was dismissed after an underwhelming start to the season, with the club 11th in the table.
