The mean lives of some excited states of 41K have been measured using the Doppler shift attenuation method. The reaction 40Ar(p, gamma )41K has been used, with argon gas providing a variable-density stopper for the recoiling 41K ions. In particular, a mean life of 13.4+or-0.5 ps has been obtained for the 3-/2 level at 1582 keV, which has recently been mentioned as a possible candidate for parity-mixing measurements.