  The concept of a knot mosaic was introduced by Lomonaco and Kauffman as a
means to construct a quantum knot system. The mosaic number of a given knot $K$
is defined as the minimum integer $n$ that allows the representation of $K$ on
an $n \times n$ mosaic board. Building upon this, the first author and Nelson
extended the knot mosaic system to encompass surface-links through the
utilization of marked graph diagrams and established both lower and upper
bounds for the mosaic number of the surface-links presented in Yoshikawa's
table. In this paper, we establish a mosaic system for immersed surface-links
by using singular marked graph diagrams. We also provide the definition and
discussion on the mosaic number for immersed surface-links.
