I use literature data and a new temperature calibration to determine the Li abundances in the globular cluster M 92 .
Based on the same data , Boesgaard et al .
have claimed that there is a dispersion in Li abundances in excess of observational errors .
This result has been brought as evidence for Li depletion in metal-poor dwarfs .
In the present note I argue that there is no strong evidence for intrinsic dispersion in Li abundances , although a dispersion as large as 0.18 dex is possible .
The mean Li abundance , A ( Li ) =2.36 , is in good agreement with recent results for field stars and TO stars in the metal-poor globular cluster NGC 6397 .
The simplest interpretation is that this constant value represents the primordial Li abundance .