We present C-13 NMR measurements carried out under pressure and betwee
n 10 and 300 K on a single crystal of the organic superconductor kappa
-(ET)2Cu[N(CN)2]Br. Under pressure, the large variation of the Knight
shift is interpreted as the presence of electronic correlations. We es
timate the U/W ratio to be of order unity. As regards temperature, we
report a large enhancement of 1/T1 T and a drop of Knight shift near 5
0 K. These anomalies tend to disappear under pressure, all properties
becoming more usual for a metal. These results are seen to be similar
to those observed in the high-T(c) superconductors. We propose that ne
sting properties of the Fermi surface can qualitatively explain this b
ehaviour.