diff --git a/src/distributions/wishart.jl b/src/distributions/wishart.jl
index 773166a4..1fcbb238 100644
--- a/src/distributions/wishart.jl
+++ b/src/distributions/wishart.jl
@@ -203,6 +203,12 @@ function BayesBase.prod(::PreserveTypeProd{Distribution}, left::WishartFast, rig
     return WishartFast(df, invV)
 end
 
+BayesBase.default_prod_rule(::Type{<:Wishart}, ::Type{<:WishartFast}) = PreserveTypeProd(Distribution)
+
+function BayesBase.prod(::PreserveTypeProd{Distribution}, left::Wishart, right::WishartFast)
+    return prod(PreserveTypeProd(Distribution), convert(WishartFast, left), right)
+end
+
 function BayesBase.insupport(ef::ExponentialFamilyDistribution{WishartFast}, x::Matrix)
     return size(getindex(unpack_parameters(ef), 2)) == size(x) && isposdef(x)
 end
diff --git a/src/distributions/wishart_inverse.jl b/src/distributions/wishart_inverse.jl
index 4cb80207..676c9b0c 100644
--- a/src/distributions/wishart_inverse.jl
+++ b/src/distributions/wishart_inverse.jl
@@ -225,6 +225,12 @@ function BayesBase.prod(::PreserveTypeProd{Distribution}, left::InverseWishartFa
     return InverseWishartFast(df, V)
 end
 
+BayesBase.default_prod_rule(::Type{<:InverseWishart}, ::Type{<:InverseWishartFast}) = PreserveTypeProd(Distribution)
+
+function BayesBase.prod(::PreserveTypeProd{Distribution}, left::InverseWishart, right::InverseWishartFast)
+    return prod(PreserveTypeProd(Distribution), convert(InverseWishartFast, left), right)
+end
+
 function BayesBase.insupport(ef::ExponentialFamilyDistribution{InverseWishartFast}, x::Matrix)
     return size(getindex(unpack_parameters(ef), 2)) == size(x) && isposdef(x)
 end
diff --git a/test/distributions/wishart_tests.jl b/test/distributions/wishart_tests.jl
index 33e90f71..efbcfce2 100644
--- a/test/distributions/wishart_tests.jl
+++ b/test/distributions/wishart_tests.jl
@@ -131,3 +131,32 @@ end
         end
     end
 end
+
+@testitem "Wishart: prod between Wishart and WishartFast" begin
+    include("distributions_setuptests.jl")
+
+    import ExponentialFamily: WishartFast
+    import Distributions: Wishart
+
+    for Sleft in rand(Wishart(10, Array(Eye(2))), 2), Sright in rand(Wishart(10, Array(Eye(2))), 2), νright in (6, 7), νleft in (4, 5)
+        let left = Wishart(νleft, Sleft), right = WishartFast(νright, Sright)
+            # Test commutativity of the product
+            prod_result1 = prod(PreserveTypeProd(Distribution), left, right)
+            prod_result2 = prod(PreserveTypeProd(Distribution), right, left)
+            
+            @test prod_result1.ν ≈ prod_result2.ν
+            @test prod_result1.invS ≈ prod_result2.invS
+            
+            # Test that the product preserves type
+            @test prod_result1 isa WishartFast
+            @test prod_result2 isa WishartFast
+
+            # prod the same before conversion
+            left_fast = convert(WishartFast, left)
+            prod_fast = prod(ClosedProd(), left_fast, right)
+
+            @test prod_fast.ν ≈ prod_result1.ν
+            @test prod_fast.invS ≈ prod_result2.invS
+        end
+    end
+end
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