diff --git a/qiskit/visualization/gate_map.py b/qiskit/visualization/gate_map.py
index c7cc0727a6c4..b950c84c902a 100644
--- a/qiskit/visualization/gate_map.py
+++ b/qiskit/visualization/gate_map.py
@@ -1039,7 +1039,9 @@ def plot_coupling_map(
         graph = CouplingMap(coupling_map).graph
 
     if not plot_directed:
+        line_color_map = dict(zip(graph.edge_list(), line_color))
         graph = graph.to_undirected(multigraph=False)
+        line_color = [line_color_map[edge] for edge in graph.edge_list()]
 
     for node in graph.node_indices():
         graph[node] = node
diff --git a/releasenotes/notes/plot-circuit-layout-5935646107893c12.yaml b/releasenotes/notes/plot-circuit-layout-5935646107893c12.yaml
new file mode 100644
index 000000000000..72f2c95962a5
--- /dev/null
+++ b/releasenotes/notes/plot-circuit-layout-5935646107893c12.yaml
@@ -0,0 +1,5 @@
+---
+fixes:
+  - |
+    Fixed a bug in :func:`plot_coupling_map` that caused the edges of the coupling map to be colored incorrectly.
+    See https://github.com/Qiskit/qiskit/pull/12369 for details.