The title is a reference to the band's debut album Asleep in the Back and was suggested by singer Guy Garvey's sister Beckie.
NME noted that "there is a strain of nocturnal lethargy that seems to run through Elbow's flipsides... it's odd that its somnolent air actually renders it slightly one-note...
"[7] The Daily Telegraph described the tracks as "mostly steady, lo-fi grooves, propelled by blue-collar bluesy riffs, detached electronic bleeps and mournful pianos", and stated that "in the best possible sense, these songs are come-downs, reflective descents from the band's often soaring, more melody-driven A-sides.
"[6] BBC Music said "This is more than just a stopgap between the albums, and while not exactly standing alongside their best in terms of outright quality, shows that even Elbow's 'hidden' past is worthy of deeper exploration.
Indeed, if anything, there's a touch too many of the tender piano ostinatos", but overall opining that "most B-sides compilations seem to have been thrown together to fulfil contracts but Dead in the Boot has a form and substance beyond that".