You Do Need power plug adapter while traveling from Lesotho to Tuvalu.

Here is Why You Need An Adapter

The outlet and plug type used in Tuvalu is I and in Lesotho is M. This is how they look like.

Lesotho

In Lesotho, outlets of type M are in use.

Type M

Tuvalu

In Tuvalu, outlets of type I are in use.

Type I