We present the first near-infrared (K-band) spectropolarimetric observations of the nuclear region of Centaurus A. Although the data are of high signal-to-noise ratio, polarized broad Br gamma is not detected and we place a 3 sigma upper limit of 3.9 x 10(-15) erg s(-1) cm(-2) in polarized flux. We find a correlation between the K-band nuclear continuum and broad H alpha line luminosity and estimate the strength of broad Br gamma based on a number of possible models.