  Using \emph{TESS} we are doing a systematic study of outbursting AM~CVn
systems to place some limits on the current outbursts models. We present the
\emph{TESS} light curve (LC) for 9 AM~CVns showing both superoutbursts (SOs)
and normal outbursts (NOs). The continuous coverage of the outbursts with
\emph{TESS} allows us to place stringent limits on the duration and structures
of the SOs and the NOs. We present evidence that in at least some of the
systems enhanced mass transfer (EMT) has to be taken into account to explain
the observed LC of the SOs and rebrighthening phase after the SOs. For others,
the colour evolution from simultaneous observations in $g$ and $r$ with ZTF
differs from previously reported colour evolution of longer period AM~CVns
where EMT is responsible for the SO. We also find that due to the lack of
sufficiently high cadence coverage the duration of many systems might have been
overestimated in previous ground-based surveys. We report the SO duration for 6
AM~CVns. We also found that precursors are a common feature of SOs in AM~CVns
and are seen in the LC of 5 of the 6 reported SOs. Finally, the 10-minute and
2-minute cadence LCs from \emph{TESS} also allowed us to find two new candidate
orbital periods of AM~CVns, both of which are in reasonably good agreement with
the predictions for their periods based on their past outburst histories.
