  Taking inspiration from the harmonic process with reservoirs introduced by
Giardin\`a, Kurchan and the author in arXiv:1904.01048, we propose integrable
boundary conditions for its trigonometric deformation which is known as the
q-Hahn process. Following the formalism established by Mangazeev and Lu in
arXiv:1903.00274 using the stochastic R-matrix, we argue that the proposed
boundary conditions can be derived from a transfer matrix constructed in the
framework of Sklyanin's extension of the quantum inverse scattering method and
consequently preserve the integrable structure of the model. The approach
avoids the explicit construction of the K-matrix.
