The 26-year-old keeper joined the Hatters from Barnsley in January 2023, but has yet to make a senior appearance for the club after suffering an injury early on in his time at Kenilworth Road.
The former England Under-18 stopper was a huge success on loan with United last season, earning a place in the club's record books by keeping 19 clean sheets in 36 league appearances.
In total Jack conceded just 23 goals as the Tannadice outfit won the Scottish Championship title to seal an immediate return to the top-flight.
We will get the opportunity to see Jack in action on July 29th as the Hatters head to Scotland to take on the Tangerines at Tannadice in a 7.45pm kick-off, with tickets available to purchase direct from United.
Best of luck, Jack!