  Since FRB 200428 has been found to be associated with an X-ray burst from the
Galactic magnetar SGR J1935+2154, it is interesting to explore whether the
magnetar bursts also follow the similar active periodic behavior as some
repeating FRBs. Previous studies show that there is possible period about 230
day in SGR J1935+2154 bursts. Here, we collected an updated burst sample from
SGR J1935+2154, including all bursts reported by Fermi/GBM and GECAM till 2022
January. We also developed a targeted search pipeline to reveal more bursts
from SGR J1935+2154 in the Fermi/GBM data from 2008 August to 2014 December
(i.e. before the first burst detected by Swift/BAT). With this burst sample, we
re-analyzed the possible periodicity of SGR J1935+2154 bursts using the Period
Folding and Lomb-Scargle Periodogram methods. Our results show that the
periodicity $\sim$238 day reported in literature is probably fake and the
observation effects may introduce false periods (i.e. 55 day) according to
simulation tests. We find that, for the current burst sample, the most probable
period is 126.88$\pm$2.05 day, which could be interpreted as the precession of
the magnetar. However, we note that the whole burst history is very complicated
and difficult to be perfectly accommodated with any period reported thus far,
therefore more monitoring observations of SGR J1935+2154 are required to test
any periodicity hypothesis.
