  We analytically investigate the quasinormal modes of the massive scalar field
with a nonminimal coupling in the higher-dimensional de Sitter black hole with
a single rotation. According to the separated scalar field equation, the
boundary conditions of quasinormal modes are well constructed at the outer and
cosmological horizons. Then, under near-extremal conditions, where the outer
horizon closes to the cosmological horizon, the quasinormal frequencies are
obtained and generalized to universal form in the higher-dimensional spacetime.
Here, the real part of the frequency includes the scalar field contents, and
its imaginary part only depends on the surface gravity at the outer horizon of
the black hole.
