diff --git a/src/Bridges/bridge_optimizer.jl b/src/Bridges/bridge_optimizer.jl
index 23b155a402..48e3d19319 100644
--- a/src/Bridges/bridge_optimizer.jl
+++ b/src/Bridges/bridge_optimizer.jl
@@ -1347,30 +1347,15 @@ function MOI.supports(
     attr::MOI.AbstractConstraintAttribute,
     IndexType::Type{MOI.ConstraintIndex{F,S}},
 ) where {F,S}
-    is_variable_function = F == MOI.Utilities.variable_function_type(S)
-    # A `F`-in-`S` constraint could be added to the model either if it this
-    # constraint is not bridged or if variables constrained on creations to `S`
-    # are not bridged and `F` is `VariableIndex` or `VectorOfVariables`.
-    if !is_bridged(b, F, S) || (is_variable_function && !is_bridged(b, S))
-        if !MOI.supports(b.model, attr, IndexType)
-            return false
-        end
-    end
-    bridge = recursive_model(b)
-    # If variable bridged, get the indices from the variable bridges.
-    if is_variable_function && is_bridged(b, S) && is_variable_bridged(b, S)
-        if !MOI.supports(bridge, attr, Variable.concrete_bridge_type(b, S))
-            return false
-        end
-    end
-    # If constraint bridged, get the indices from the constraint bridges.
-    if is_bridged(b, F, S) ||
-       (is_variable_function && supports_constraint_bridges(b))
-        if !MOI.supports(bridge, attr, Constraint.concrete_bridge_type(b, F, S))
-            return false
-        end
+    if is_bridged(b, F, S)
+        bridge = Constraint.concrete_bridge_type(b, F, S)
+        return MOI.supports(recursive_model(b), attr, bridge)
+    elseif F == MOI.Utilities.variable_function_type(S) && is_bridged(b, S)
+        bridge = Variable.concrete_bridge_type(b, S)
+        return MOI.supports(recursive_model(b), attr, bridge)
+    else
+        return MOI.supports(b.model, attr, IndexType)
     end
-    return true
 end
 
 function MOI.set(
diff --git a/test/Bridges/bridge_optimizer.jl b/test/Bridges/bridge_optimizer.jl
index 17e07911d3..227a2c6056 100644
--- a/test/Bridges/bridge_optimizer.jl
+++ b/test/Bridges/bridge_optimizer.jl
@@ -821,6 +821,32 @@ function test_constant_modification_with_affine_variable_bridge()
     @test MOI.get(model, obj) ≈ new_inner_obj
 end
 
+struct _IssueIpopt333 <: MOI.AbstractOptimizer end
+
+function MOI.supports(
+    ::_IssueIpopt333,
+    ::MOI.ConstraintDualStart,
+    ::Type{MOI.ConstraintIndex{MOI.VariableIndex,MOI.GreaterThan{Float64}}},
+)
+    return true
+end
+
+function MOI.supports_constraint(
+    ::_IssueIpopt333,
+    ::Type{MOI.VariableIndex},
+    ::Type{MOI.GreaterThan{Float64}},
+)
+    return true
+end
+
+function test_IssueIpopt333_supports_ConstraintDualStart_VariableIndex()
+    model = MOI.Bridges.full_bridge_optimizer(_IssueIpopt333(), Float64)
+    attr = MOI.ConstraintDualStart()
+    IndexType = MOI.ConstraintIndex{MOI.VariableIndex,MOI.GreaterThan{Float64}}
+    @test MOI.supports(model, attr, IndexType)
+    return
+end
+
 end  # module
 
 TestBridgeOptimizer.runtests()