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We investigate the deuteration of methanol towards the high-mass star formingregion NGC 7538-IRS1. We have carried out a multi-transition study of CH$_3$OH,$^{13}$CH$_3$OH and of the deuterated fllavors, CH$_2$DOH and CH$_3$OD, between1.0--1.4 mm with the IRAM-30~m antenna. In total, 34 $^{13}$CH$_3$OH, 13CH$_2$DOH lines and 20 CH$_3$OD lines spanning a wide range of upper-stateenergies (E$_{up}$) were detected. From the detected transitions, we estimatethat the measured D/H does not exceed 1$\%$, with a measured CH$_2$DOH/CH$_3$OHand CH$_3$OD/CH$_3$OH of about (32$\pm$8)$\times$10$^{-4}$ and(10$\pm$4)$\times$10$^{-4}$, respectively. This finding is consistent with thehypothesis of a short-time scale formation during the pre-stellar phase. Wefind a relative abundance ratio CH$_2$DOH/CH$_3$OD of 3.2 $\pm$ 1.5. Thisresult is consistent with a statistical deuteration. We cannot exclude H/Dexchanges between water and methanol if water deuteration is of the order0.1$\%$, as suggested by recent Herschel observations.

Deuterated methanol toward NGC 7538-IRS1