  In the light of the recently discussed mechanism for suppression of
superconductivity in multi-orbital systems called inter-orbital effect, here we
extend our analysis of the upper critical field in Sr$_2$RuO$_4$ now under
strain. We show that the presence of the standard orbital effect and the new
mechanism can consistently account for the qualitative changes observed in the
upper critical field for the strained system, in particular, combining the
overall enhancement of the critical field with the reduction in the anisotropy.
The proposed picture holds for a triplet superconducting state, showing that a
singlet state is not the only possibility to account for the observations. We
suggest further experiments in order to clarify our understanding about the
superconducting phase of Sr$_2$RuO$_4$.
