diff --git a/src/Utilities/universalfallback.jl b/src/Utilities/universalfallback.jl
index 39cf7c45e6..cdad5cf3de 100644
--- a/src/Utilities/universalfallback.jl
+++ b/src/Utilities/universalfallback.jl
@@ -13,6 +13,7 @@ optimizer bridges should be used instead.
 """
 mutable struct UniversalFallback{MT} <: MOI.ModelLike
     model::MT
+    objective::Union{MOI.AbstractScalarFunction, Nothing}
     constraints::OrderedDict{Tuple{DataType, DataType}, OrderedDict} # See https://github.com/JuliaOpt/JuMP.jl/issues/1152 and https://github.com/JuliaOpt/JuMP.jl/issues/2238
     nextconstraintid::Int64
     con_to_name::Dict{CI, String}
@@ -23,6 +24,7 @@ mutable struct UniversalFallback{MT} <: MOI.ModelLike
     conattr::Dict{MOI.AbstractConstraintAttribute, Dict{CI, Any}}
     function UniversalFallback{MT}(model::MOI.ModelLike) where {MT}
         new{typeof(model)}(model,
+                           nothing,
                            OrderedDict{Tuple{DataType, DataType}, OrderedDict}(),
                            0,
                            Dict{CI, String}(),
@@ -39,10 +41,11 @@ function Base.show(io::IO, U::UniversalFallback)
     s(n) = n == 1 ? "" : "s"
     indent = " "^get(io, :indent, 0)
     MOIU.print_with_acronym(io, summary(U))
+    !(U.objective === nothing) && print(io, "\n$(indent)with objective")
     for (attr, name) in (   (U.constraints, "constraint"),
-                            (U.optattr, "optimizer attribute"), 
-                            (U.modattr, "model attribute"), 
-                            (U.varattr, "variable attribute"), 
+                            (U.optattr, "optimizer attribute"),
+                            (U.modattr, "model attribute"),
+                            (U.varattr, "variable attribute"),
                             (U.conattr, "constraint attribute") )
         n = length(attr)
         if n > 0
@@ -54,11 +57,12 @@ function Base.show(io::IO, U::UniversalFallback)
 end
 
 function MOI.is_empty(uf::UniversalFallback)
-    return MOI.is_empty(uf.model) && isempty(uf.constraints) &&
+    return MOI.is_empty(uf.model) && uf.objective === nothing && isempty(uf.constraints) &&
         isempty(uf.modattr) && isempty(uf.varattr) && isempty(uf.conattr)
 end
 function MOI.empty!(uf::UniversalFallback)
     MOI.empty!(uf.model)
+    uf.objective = nothing
     empty!(uf.constraints)
     uf.nextconstraintid = 0
     empty!(uf.con_to_name)
@@ -156,6 +160,9 @@ function MOI.delete(uf::UniversalFallback, vi::VI)
     for d in values(uf.varattr)
         delete!(d, vi)
     end
+    if uf.objective !== nothing
+        uf.objective = remove_variable(uf.objective, vi)
+    end
     for (_, constraints) in uf.constraints
         _remove_variable(uf, constraints, vi)
     end
@@ -167,6 +174,9 @@ function MOI.delete(uf::UniversalFallback, vis::Vector{VI})
             delete!(d, vi)
         end
     end
+    if uf.objective !== nothing
+        uf.objective = remove_variable(uf.objective, vis)
+    end
     for (_, constraints) in uf.constraints
         _remove_vector_of_variables(uf, constraints, vis)
         for vi in vis
@@ -248,6 +258,9 @@ function MOI.get(uf::UniversalFallback, listattr::MOI.ListOfOptimizerAttributesS
 end
 function MOI.get(uf::UniversalFallback, listattr::MOI.ListOfModelAttributesSet)
     list = MOI.get(uf.model, listattr)
+    if uf.objective !== nothing
+        push!(list, MOI.ObjectiveFunction{typeof(uf.objective)}())
+    end
     for attr in keys(uf.modattr)
         push!(list, attr)
     end
@@ -268,6 +281,54 @@ function MOI.get(uf::UniversalFallback, listattr::MOI.ListOfConstraintAttributes
     return list
 end
 
+# Objective
+function MOI.set(uf::UniversalFallback, attr::MOI.ObjectiveSense,
+                 sense::MOI.OptimizationSense) where T
+    if sense == MOI.FEASIBILITY_SENSE
+        uf.objective = nothing
+    end
+    MOI.set(uf.model, attr, sense)
+end
+function MOI.get(uf::UniversalFallback,
+                 attr::MOI.ObjectiveFunctionType)
+    if uf.objective === nothing
+        return MOI.get(uf.model, attr)
+    else
+        return typeof(uf.objective)
+    end
+end
+function MOI.get(uf::UniversalFallback,
+                 attr::MOI.ObjectiveFunction{F})::F where F
+    if uf.objective === nothing
+        return MOI.get(uf.model, attr)
+    else
+        return uf.objective
+    end
+end
+function MOI.set(uf::UniversalFallback,
+                 attr::MOI.ObjectiveFunction,
+                 func::MOI.AbstractScalarFunction)
+    if MOI.supports(uf.model, attr)
+        MOI.set(uf.model, attr, func)
+        # Clear any fallback objective
+        uf.objective = nothing
+    else
+        uf.objective = copy(func)
+        # Clear any `model` objective
+        sense = MOI.get(uf.model, MOI.ObjectiveSense())
+        MOI.set(uf.model, MOI.ObjectiveSense(), MOI.FEASIBILITY_SENSE)
+        MOI.set(uf.model, MOI.ObjectiveSense(), sense)
+    end
+end
+
+function MOI.modify(uf::UniversalFallback, obj::MOI.ObjectiveFunction, change::MOI.AbstractFunctionModification) where F
+    if uf.objective === nothing
+        MOI.modify(uf.model, obj, change)
+    else
+        uf.objective = modify_function(uf.objective, change)
+    end
+end
+
 # Name
 # The names of constraints not supported by `uf.model` need to be handled
 function MOI.set(uf::UniversalFallback, attr::MOI.ConstraintName, ci::CI{F, S}, name::String) where {F, S}
@@ -430,9 +491,6 @@ function MOI.set(uf::UniversalFallback, ::MOI.ConstraintSet, ci::CI{F,S}, set::S
     end
 end
 
-# Objective
-MOI.modify(uf::UniversalFallback, obj::MOI.ObjectiveFunction, change::MOI.AbstractFunctionModification) = MOI.modify(uf.model, obj, change)
-
 # Variables
 MOI.add_variable(uf::UniversalFallback) = MOI.add_variable(uf.model)
 MOI.add_variables(uf::UniversalFallback, n) = MOI.add_variables(uf.model, n)
diff --git a/test/Utilities/universalfallback.jl b/test/Utilities/universalfallback.jl
index 38fc8df1df..1aba511f70 100644
--- a/test/Utilities/universalfallback.jl
+++ b/test/Utilities/universalfallback.jl
@@ -52,7 +52,7 @@ end
 
 struct UnknownOptimizerAttribute <: MOI.AbstractOptimizerAttribute end
 
-# A few constraint types are supported to test both the fallback and the
+# A few objective/constraint types are supported to test both the fallback and the
 # delegation to the internal model
 @MOIU.model(ModelForUniversalFallback,
             (),
@@ -63,6 +63,11 @@ struct UnknownOptimizerAttribute <: MOI.AbstractOptimizerAttribute end
             (MOI.ScalarAffineFunction,),
             (),
             ())
+function MOI.supports(
+    ::ModelForUniversalFallback{T},
+    ::Type{MOI.ObjectiveFunction{MOI.ScalarAffineFunction{T}}}) where T
+    return false
+end
 function MOI.supports_constraint(
     ::ModelForUniversalFallback{T}, ::Type{MOI.SingleVariable},
     ::Type{<:Union{MOI.EqualTo{T}, MOI.GreaterThan{T}, MOI.Interval{T},
@@ -123,6 +128,37 @@ y, z = MOI.add_variables(uf, 2)
     listattr = MOI.ListOfVariableAttributesSet()
     test_varconattrs(uf, model, attr, listattr, VI, MOI.add_variable, x, y, z)
 end
+@testset "Objective Attribute" begin
+    global x, y, z
+    _single(vi) = MOI.SingleVariable(vi)
+    _affine(vi) = convert(MOI.ScalarAffineFunction{Float64}, MOI.SingleVariable(vi))
+    function _add_single_objective(vi)
+        return MOI.set(uf, MOI.ObjectiveFunction{MOI.SingleVariable}(), _single(vi))
+    end
+    function _add_affine_objective(vi)
+        return MOI.set(uf, MOI.ObjectiveFunction{MOI.ScalarAffineFunction{Float64}}(), _affine(vi))
+    end
+    @testset "Supported objective" begin
+        F = MOI.SingleVariable
+        @test MOI.supports(model, MOI.ObjectiveFunction{F}())
+        _add_single_objective(x)
+        @test MOI.get(uf, MOI.ObjectiveFunction{F}()) ≈ _single(x)
+        MOI.set(uf, MOI.ObjectiveFunction{F}(), _single(y))
+        @test MOI.get(uf, MOI.ObjectiveFunction{F}()) ≈ _single(y)
+    end
+    @testset "Unsupported objective" begin
+        F = MOI.ScalarAffineFunction{Float64}
+        @test !MOI.supports(model, MOI.ObjectiveFunction{F})
+        @test MOI.supports(uf, MOI.ObjectiveFunction{F}())
+        _add_affine_objective(x)
+        @test MOI.get(uf, MOI.ObjectiveFunction{F}()) ≈ _affine(x)
+        MOI.modify(uf, MOI.ObjectiveFunction{F}(), MOI.ScalarCoefficientChange(y, 1.))
+        fx = MOI.SingleVariable(x)
+        fy = MOI.SingleVariable(y)
+        obj = 1fx + 1fy
+        @test MOI.get(uf, MOI.ObjectiveFunction{F}()) ≈ obj
+    end
+end
 @testset "Constraint Attribute" begin
     global x, y, z
     _affine(vi) = convert(MOI.ScalarAffineFunction{Float64}, MOI.SingleVariable(vi))
@@ -221,7 +257,7 @@ end
         cy2 = MOI.add_constraint(uf, _affine(y), sets[2])
         # check that the constraint types are in the order they were added in
         @test MOI.get(uf, MOI.ListOfConstraints()) == [(F, typeof(sets[1])), (F, typeof(sets[2]))]
-        # check that the constraints given the constraint type are in the order they were added in 
+        # check that the constraints given the constraint type are in the order they were added in
         @test MOI.get(uf, MOI.ListOfConstraintIndices{F, typeof(sets[1])}()) == [MOI.ConstraintIndex{F, typeof(sets[1])}(1), MOI.ConstraintIndex{F, typeof(sets[1])}(3)]
         @test MOI.get(uf, MOI.ListOfConstraintIndices{F, typeof(sets[2])}()) == [MOI.ConstraintIndex{F, typeof(sets[2])}(2), MOI.ConstraintIndex{F, typeof(sets[2])}(4)]
     end