diff --git a/src/aff_expr.jl b/src/aff_expr.jl
index 86570a9ad2b..4c76f6ddc2e 100644
--- a/src/aff_expr.jl
+++ b/src/aff_expr.jl
@@ -204,8 +204,14 @@ function Base.one(::Type{GenericAffExpr{C,V}}) where {C,V}
     return GenericAffExpr{C,V}(one(C), OrderedDict{V,C}())
 end
 
+function Base.oneunit(::Type{GenericAffExpr{C,V}}) where {C,V}
+    return GenericAffExpr{C,V}(oneunit(C), OrderedDict{V,C}())
+end
+
 Base.one(a::GenericAffExpr) = one(typeof(a))
 
+Base.oneunit(a::GenericAffExpr) = oneunit(typeof(a))
+
 Base.copy(a::GenericAffExpr) = GenericAffExpr(copy(a.constant), copy(a.terms))
 
 Base.broadcastable(a::GenericAffExpr) = Ref(a)
diff --git a/src/variables.jl b/src/variables.jl
index 203722e9e00..7a4a16b5088 100644
--- a/src/variables.jl
+++ b/src/variables.jl
@@ -361,10 +361,16 @@ end
 
 Base.one(v::AbstractVariableRef) = one(typeof(v))
 
+Base.oneunit(v::AbstractVariableRef) = oneunit(typeof(v))
+
 function Base.one(::Type{V}) where {V<:AbstractVariableRef}
     return one(GenericAffExpr{value_type(V),V})
 end
 
+function Base.oneunit(::Type{V}) where {V<:AbstractVariableRef}
+    return oneunit(GenericAffExpr{value_type(V),V})
+end
+
 """
     coefficient(v1::GenericVariableRef{T}, v2::GenericVariableRef{T}) where {T}
 
diff --git a/test/test_variable.jl b/test/test_variable.jl
index 773c2527a2d..1d5750da8bc 100644
--- a/test/test_variable.jl
+++ b/test/test_variable.jl
@@ -1616,4 +1616,12 @@ function test_variable_eltype()
     return
 end
 
+function test_variable_one()
+    model = Model()
+    @variable(model, x)
+    @test Base.one(x) == 1
+    @test Base.oneunit(x) == 1
+    return
+end
+
 end  # module TestVariable