Zaid Alsalami, Shaykh Dr Zaid Alsalami is an Iraqi born scholar, raised in Australia. He obtained a BA from Al-Mustafa University, Qom, and an MA from the Islamic College in London. He also obtained a PhD from... Answered 4 months ago

Bismihi ta'ala

Yes, ghusl or wudhu would be valid without rinsing mouth or nose. Such an act is not considered as wajib.

And Allah knows best.