diff --git a/src/Bridges/debug.jl b/src/Bridges/debug.jl
index 6ee1df3611..68da5d4beb 100644
--- a/src/Bridges/debug.jl
+++ b/src/Bridges/debug.jl
@@ -144,7 +144,7 @@ function add_unsupported(graph::Graph, edges::Vector{ObjectiveEdge},
 end
 function add_unsupported(graph::Graph, node::VariableNode,
                          variables, constraints, objectives)
-    if _dist(graph, node) != INFINITY
+    if _dist(graph, node) != INFINITY || node in variables
         return
     end
     push!(variables, node)
@@ -156,7 +156,7 @@ function add_unsupported(graph::Graph, node::VariableNode,
 end
 function add_unsupported(graph::Graph, node::ConstraintNode,
                          variables, constraints, objectives)
-    if _dist(graph, node) != INFINITY
+    if _dist(graph, node) != INFINITY || node in constraints
         return
     end
     push!(constraints, node)
@@ -164,7 +164,7 @@ function add_unsupported(graph::Graph, node::ConstraintNode,
 end
 function add_unsupported(graph::Graph, node::ObjectiveNode,
                          variables, constraints, objectives)
-    if _dist(graph, node) != INFINITY
+    if _dist(graph, node) != INFINITY || node in objectives
         return
     end
     push!(objectives, node)
diff --git a/test/Bridges/lazy_bridge_optimizer.jl b/test/Bridges/lazy_bridge_optimizer.jl
index 26767b1497..fece135cf1 100644
--- a/test/Bridges/lazy_bridge_optimizer.jl
+++ b/test/Bridges/lazy_bridge_optimizer.jl
@@ -621,6 +621,41 @@ Bridge graph with 1 variable nodes, 5 constraint nodes and 2 objective nodes.
  (5) `MOI.ScalarQuadraticFunction{$T}`-in-`MOI.LessThan{$T}` constraints are bridged (distance 5) by MOIB.Constraint.QuadtoSOCBridge{$T}.
  |1| objective function of type `MOI.ScalarQuadraticFunction{$T}` is bridged (distance 12) by MOIB.Objective.SlackBridge{$T,MOI.ScalarQuadraticFunction{$T},MOI.ScalarQuadraticFunction{$T}}.
  |2| objective function of type `MOI.SingleVariable` is bridged (distance 1) by MOIB.Objective.FunctionizeBridge{$T}.
+"""
+    end
+    bridged = MOIB.LazyBridgeOptimizer(model)
+    @testset "Exponential constraint" begin
+        F = MOI.VectorAffineFunction{T}
+        S = MOI.ExponentialCone
+        @test debug_string(MOIB.debug_supports_constraint, F, S) ==
+"""
+`MOI.VectorAffineFunction{$T}`-in-`MOI.ExponentialCone` constraints are not supported and cannot be bridged into supported constrained variables and constraints. See details below:
+(1) `MOI.VectorAffineFunction{$T}`-in-`MOI.ExponentialCone` constraints are not supported because no added bridge supports bridging it.
+"""
+        MOIB.add_bridge(bridged, MOIB.Constraint.VectorSlackBridge{T})
+        @test debug_string(MOIB.debug_supports_constraint, F, S) ==
+"""
+`MOI.VectorAffineFunction{$T}`-in-`MOI.ExponentialCone` constraints are not supported and cannot be bridged into supported constrained variables and constraints. See details below:
+[1] constrained variables in `MOI.ExponentialCone` are not supported because no added bridge supports bridging it.
+  Cannot add free variables and then constrain them because free variables are bridged but no functionize bridge was added.
+(1) `MOI.VectorAffineFunction{$T}`-in-`MOI.ExponentialCone` constraints are not supported because:
+  Cannot use `MOIB.Constraint.VectorSlackBridge{$T,MOI.VectorAffineFunction{$T},MOI.ExponentialCone}` because:
+  [1] constrained variables in `MOI.ExponentialCone` are not supported
+  (2) `MOI.VectorAffineFunction{$T}`-in-`MOI.Zeros` constraints are not supported
+(2) `MOI.VectorAffineFunction{$T}`-in-`MOI.Zeros` constraints are not supported because no added bridge supports bridging it.
+"""
+        MOIB.add_bridge(bridged, MOIB.Constraint.VectorFunctionizeBridge{T})
+        @test debug_string(MOIB.debug_supports_constraint, F, S) ==
+"""
+`MOI.VectorAffineFunction{$T}`-in-`MOI.ExponentialCone` constraints are not supported and cannot be bridged into supported constrained variables and constraints. See details below:
+[1] constrained variables in `MOI.ExponentialCone` are not supported because no added bridge supports bridging it.
+  Cannot add free variables and then constrain them because:
+  (1) `MOI.VectorAffineFunction{$T}`-in-`MOI.ExponentialCone` constraints are not supported
+(1) `MOI.VectorAffineFunction{$T}`-in-`MOI.ExponentialCone` constraints are not supported because:
+  Cannot use `MOIB.Constraint.VectorSlackBridge{$T,MOI.VectorAffineFunction{$T},MOI.ExponentialCone}` because:
+  [1] constrained variables in `MOI.ExponentialCone` are not supported
+  (2) `MOI.VectorAffineFunction{$T}`-in-`MOI.Zeros` constraints are not supported
+(2) `MOI.VectorAffineFunction{$T}`-in-`MOI.Zeros` constraints are not supported because no added bridge supports bridging it.
 """
     end
 end