What I am aware of is that experimental data suggest the existence of REM sleep deprivation / REM rebound phenomenon related immunomodulation, in terms of circulating cytokines profile changes and neutrophils cytotoxicity reduction. Look at thr literature for more info!
Indeed, I read some papers showing that sleep loss induces an immunomodulation such as for instance a functional alteration of monocyte proinflammatory cytokine responses (e.g. Sleep Loss Activates Cellular Markers of Inflammation: Sex Differences - Brain Behav Immun. 2010 January ; 24(1): 54–57.).
Hovewer, I failed to find a sleep modulation of circulating LPS-antibodies. My interest is focussed on the putative role of such a (down) modulation in the development of exertional heat stroke (EHS) since numerous symptoms of EHS are those of sepsis and one of the major predisposing factor of EHS is sleep loss.