The Hammers have had five players sent off in their last eight games.
The Hammers were on the receiving end of Bournemouth’s first ever Premier League win on Saturday after a calamitous showing at the Boleyn, which culminated in yet another red card - with Carl Jenkinson the guilty party on this occasion.
“I don’t know how many red cards we have had now, about five in eight games I think, and we can’t cope with that as a squad,” said Reid.
“We need more discipline from everybody, not singling anyone out, it is everybody.”
Uncharacteristically poor performances from Aaron Cresswell and Carl Jenkinson gifted the visitors three of their goals, while summer signing Angelo Ogbonna was hauled off for tactical reasons after just 35 minutes.
“We just made some really, really bad mistakes,” added Reid.
“It is not fair to single anyone out; every one of us had a loose pass at the back, whereas normally we are a lot tighter. If you look at it, it is by far our worst game.”
It’s been a speedy return to reality after the Hammers' opening day heroics at the Emirates, and the task on the hands of Slaven Bilic is turning out to be a tougher one than it first appeared.
The Croat essentially sacrificed West Ham’s long-awaited return to Europe in the hope that their league form would benefit, and so far things haven’t gone to plan.
The victory against Arsenal demonstrated that there is real quality when everyone is fit and firing, but the injury crisis up front has damaged the Hammers – as has the lack of an experienced central midfielder.
With just eight days to go until the close of the window, time is running out for Bilic to bring in the men required to ensure this historical season doesn't become a nightmare one for the West Ham faithful.