diff --git a/Project.toml b/Project.toml
index 3ad047b6..7b91a141 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "ParametricOptInterface"
 uuid = "0ce4ce61-57bf-432b-a095-efac525d185e"
 authors = ["Tomás Gutierrez <tomasfmgutierrez@gmail.com>"]
-version = "0.12.0"
+version = "0.12.1"
 
 [deps]
 MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
diff --git a/src/MOI_wrapper.jl b/src/MOI_wrapper.jl
index 88bc3e82..6d9e520c 100644
--- a/src/MOI_wrapper.jl
+++ b/src/MOI_wrapper.jl
@@ -513,6 +513,19 @@ function MOI.supports(
            MOI.supports(model.optimizer, attr, MOI.ConstraintIndex{G,S})
 end
 
+function MOI.supports(
+    model::Optimizer,
+    attr::MOI.ConstraintName,
+    ::Type{MOI.ConstraintIndex{F,S}},
+) where {T,F<:MOI.VectorQuadraticFunction{T},S}
+    G = MOI.VectorAffineFunction{T}
+    # We can't tell at type-time whether the constraints will be quadratic or
+    # lowered to affine, so we return the conservative choice for supports of
+    # needing to support names for both quadratic and affine constraints.
+    return MOI.supports(model.optimizer, attr, MOI.ConstraintIndex{F,S}) &&
+           MOI.supports(model.optimizer, attr, MOI.ConstraintIndex{G,S})
+end
+
 function MOI.set(
     model::Optimizer,
     attr::MOI.ConstraintName,
diff --git a/test/moi_tests.jl b/test/moi_tests.jl
index ab94eb17..524f9914 100644
--- a/test/moi_tests.jl
+++ b/test/moi_tests.jl
@@ -2045,6 +2045,18 @@ MOI.Utilities.@model(
     ()
 );
 
+MOI.Utilities.@model(
+    Model185_2,
+    (),
+    (),
+    (MOI.PositiveSemidefiniteConeTriangle,),
+    (),
+    (),
+    (),
+    (),
+    (MOI.VectorAffineFunction,)
+);
+
 function test_issue_185()
     inner = Model185{Float64}()
     mock = MOI.Utilities.MockOptimizer(inner; supports_names = false)
@@ -2056,6 +2068,17 @@ function test_issue_185()
     return
 end
 
+function test_issue_185_vector()
+    inner = Model185_2{Float64}()
+    mock = MOI.Utilities.MockOptimizer(inner; supports_names = false)
+    model = POI.Optimizer(MOI.Bridges.full_bridge_optimizer(mock, Float64))
+    for F in (MOI.VectorAffineFunction, MOI.VectorQuadraticFunction)
+        C = MOI.ConstraintIndex{F{Float64},MOI.PositiveSemidefiniteConeTriangle}
+        @test !MOI.supports(model, MOI.ConstraintName(), C)
+    end
+    return
+end
+
 function test_psd_cone_with_parameter()
     #=
     variables: x