diff --git a/src/ParametricOptInterface.jl b/src/ParametricOptInterface.jl
index 167a73fc..d776ce4c 100644
--- a/src/ParametricOptInterface.jl
+++ b/src/ParametricOptInterface.jl
@@ -478,6 +478,34 @@ function MOI.supports(
     return MOI.supports(model.optimizer, attr, tp)
 end
 
+function MOI.set(
+    model::Optimizer,
+    attr::MOI.ConstraintName,
+    c::MOI.ConstraintIndex{MOI.ScalarQuadraticFunction{T},S},
+    name::String,
+) where {T,S<:MOI.AbstractSet}
+    if haskey(model.quadratic_added_cache, c)
+        MOI.set(model.optimizer, attr, model.quadratic_added_cache[c], name)
+    else
+        MOI.set(model.optimizer, attr, c, name)
+    end
+    return
+end
+
+function MOI.set(
+    model::Optimizer,
+    attr::MOI.ConstraintName,
+    c::MOI.ConstraintIndex{MOI.ScalarAffineFunction{T},S},
+    name::String,
+) where {T,S<:MOI.AbstractSet}
+    if haskey(model.affine_added_cache, c)
+        MOI.set(model.optimizer, attr, model.affine_added_cache[c], name)
+    else
+        MOI.set(model.optimizer, attr, c, name)
+    end
+    return
+end
+
 function MOI.set(
     model::Optimizer,
     attr::MOI.ConstraintName,
@@ -488,6 +516,30 @@ function MOI.set(
     return
 end
 
+function MOI.get(
+    model::Optimizer,
+    attr::MOI.ConstraintName,
+    c::MOI.ConstraintIndex{MOI.ScalarQuadraticFunction{T},S},
+) where {T,S<:MOI.AbstractSet}
+    if haskey(model.quadratic_added_cache, c)
+        return MOI.get(model.optimizer, attr, model.quadratic_added_cache[c])
+    else
+        return MOI.get(model.optimizer, attr, c)
+    end
+end
+
+function MOI.get(
+    model::Optimizer,
+    attr::MOI.ConstraintName,
+    c::MOI.ConstraintIndex{MOI.ScalarAffineFunction{T},S},
+) where {T,S<:MOI.AbstractSet}
+    if haskey(model.affine_added_cache, c)
+        return MOI.get(model.optimizer, attr, model.affine_added_cache[c])
+    else
+        return MOI.get(model.optimizer, attr, c)
+    end
+end
+
 function MOI.get(
     model::Optimizer,
     attr::MOI.ConstraintName,