The recent discovery of a supernova (SN 1998bw) seemingly associated with G
RB 980425 adds a new twist to the decades-old debate over the origin of gam
ma-ray bursts. To investigate the possibility that some (or all) bursts are
associated with supernovae, we performed a systematic search for temporal/
angular correlations using catalogs of BATSE and BATSE/Ulysses burst locati
ons. We find no associations with any of the precise BATSE/Ulysses location
s, which allows us to conclude that the fraction of high-fluence gamma-ray
bursts from known supernovae is small (less than 0.2%). For the more numero
us weaker bursts, the corresponding limiting fraction of 1.5% is less const
raining due to the imprecise locations of these events. This limit (1.5% si
milar or equal to 18 bursts) allows that a large fraction of the recent sup
ernovae used as a comparison data set (18 supernovae similar or equal to 20
%) could have associated gamma-ray bursts. Thus, although we find no signif
icant evidence to support a burst/supernova association, the possibility ca
nnot be excluded for weak bursts.