Yes, of course: muscle spinldles are...fatiguing muscles themselves.
See the excellent review:
Proske U, Gandevia SC. Physiol Rev. 2012 Oct;92(4):1651-97. The proprioceptive senses: their roles in signaling body shape, body position and
movement, and muscle force.doi: 10.1152/physrev.00048.2011.
A single article targeted on your question is, for instance,:
Stapley PJ, Beretta MV, Dalla Toffola E, Schieppati M.Neck muscle fatigue and postural control in patients with whiplash injury.Clin Neurophysiol. 2006 Mar;117(3):610-22.
The difficulty here, it seems to me, is in discriminating between the sensory (proprioception) and fine motor control, both necessary to complete a fine motor task. It doesn't make sense to me that muscle fatigue should affect joint proprioception but I guess it could.
Hira, it isn't clear to me as to what observation or thought process has led someone to even ask the question. But, it seems, someone has so good luck to them and/or you.
its my colleague who wants to conduct a study. He chose to test joint proprioception after different levels of work... effects of .mild, moderate and intense physical activity on joint proprioception. ..assuming that intense work which leads to fatigue can alter/decrease joint propripception
Perhaps he could set up a booth at the finish line of a marathon and do a quick measure of joint proprioception in those people and compare it to what is normal. That would be an easy pilot study in fatigued people to see if there is anything to it. If there is then a better study with controls might be warranted.
Fatigue is not a simple matter. By means of myoelectrical recordings you can get some good informations from MDF (Median frequency) or MNF (Mean Frequency), which means some kind of spectral estimation from the raw EMGsurface signals. See the a wide literature from the Polytechnic of Turin and from the Roma Foro Italico University on Motor Science.