diff --git a/src/promote.jl b/src/promote.jl
index 1302fff..8639900 100644
--- a/src/promote.jl
+++ b/src/promote.jl
@@ -24,6 +24,13 @@ function promote_rule_constant(
     return term_type(TT, promote_type(S, T))
 end
 
+function promote_rule_constant(
+    ::Type{Any},
+    TT::Type{<:AbstractTermLike{T}},
+) where {T}
+    return Any
+end
+
 # PolynomialLike
 Base.promote_rule(::Type{PT}, ::Type{PT}) where {PT<:_APL} = PT
 function Base.promote_rule(PS::Type{<:_APL}, PT::Type{<:_APL})
diff --git a/test/Project.toml b/test/Project.toml
index 46cf9f3..0b8e8bd 100644
--- a/test/Project.toml
+++ b/test/Project.toml
@@ -10,5 +10,5 @@ Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 TypedPolynomials = "afbbf031-7a57-5f58-a1b9-b774a0fad08d"
 
 [compat]
-DynamicPolynomials = "0.5"
+DynamicPolynomials = "0.5, 0.6.2"
 TypedPolynomials = "0.4"
diff --git a/test/promote.jl b/test/promote.jl
index 743f205..b020efd 100644
--- a/test/promote.jl
+++ b/test/promote.jl
@@ -171,3 +171,9 @@ end
         __promote_prod(PXY, PXY, PXY)
     end
 end
+
+@testset "promote_operation with Any" begin
+    Mod.@polyvar x
+    V = typeof(x)
+    @test promote_type(V, Any) == Any
+end
\ No newline at end of file
diff --git a/test/test/Project.toml b/test/test/Project.toml
new file mode 100644
index 0000000..81648c0
--- /dev/null
+++ b/test/test/Project.toml
@@ -0,0 +1 @@
+[deps]