The Hammers manager dashed any hope of any further signings ahead of the transfer deadline, insisting that any potential transfer would hinge on offloading existing players
Aside from capturing the signatures of Andy Carroll and Stewart Downing from Liverpool this summer, the Hammers have been largely inactive in the off-season, much to the chagrin of Allardyce.
And following a poor showing that saw his side beaten by a second-half Jermaine Pennant free kick, the 58-year-old revealed that the east London club cannot afford to make any new signings without offloading existing players.
"We don't have – unless anybody gets sold – any money to spend," he told reporters after his side's defeat.
When asked what chance the club has of selling players to bring in the requisite capital, Allardyce replied: "Slim. We've got just over 48 hours [before the end of the transfer window] and if you're going to move somebody out to move someone in, the timing is critical.
"If you're just bringing players in - that's the easy job."
Allardyce also underscored the difficulty of finding value in the British market and revealed that, if the club were to invest, it would be in overseas talent.
"It's extremely difficult to find players of the quality to play at this level, If it's a player we bring in, it's not going to be from this country, it's going to be abroad."
Allardyce did have some good news, however, revealing that striker Andy Carroll – who was sorely missed during the defeat to Stoke – has resumed training, with a potential return date pencilled in for after the international break.