  MGRO J1908+06 is a bright, extended TeV gamma-ray source located near the
Galactic plane. The TeV emission has previously been attributed to the pulsar
wind nebula of the radio-faint gamma-ray pulsar PSR J1907+0602 discovered with
Fermi. However, studies of the TeV morphology with VERITAS have shown that MGRO
J1908+06 is somewhat larger than other pulsar wind nebulae of similar age and
that the TeV spectrum does not soften with distance from the pulsar as is
observed for other pulsar wind nebulae. Although MGRO J1908+06 is very bright
in gamma rays with a flux corresponding to ~80% of the Crab Nebula flux at 20
TeV, no extended emission at other energies has so far been detected. We report
on our analysis of X-ray data obtained with XMM-Newton of the region near MGRO
J1908+06. We searched the data for point-like sources and detected several
hard-spectrum X-ray sources that could be associated with the TeV emission,
including the gamma-ray pulsar PSR J1907+0602. We also performed an extended
source analysis to search for diffuse emission from MGRO J1908+06 but found no
evidence of diffuse X-ray emission coincident with the TeV source. We place an
upper limit of $8.7\times10^{33}\rm~erg~s^{-1}$ on the X-ray luminosity of MGRO
J1908+06 in the 1-10 keV energy range. The corresponding limit on the ratio of
gamma-ray to X-ray luminosity is consistent with the ratios found for other
pulsar wind nebulae of similar age.
