diff --git a/src/pullbacks/svd.jl b/src/pullbacks/svd.jl
index 4291bf9e6..365ca9feb 100755
--- a/src/pullbacks/svd.jl
+++ b/src/pullbacks/svd.jl
@@ -241,8 +241,9 @@ function svd_trunc_pullback!(
         Y₀ᴴ = iszerotangent(ΔV₊ᴴ) ? zero(Vᴴ) : ldiv!(Diagonal(S), ΔV₊ᴴ)
         US = mul!(ΔAV, U, Smat) # recycle ΔAV
         AP = mul!(copy(A), US, Vᴴ, -1, 1)
-        AP ./= S[end]
-        S⁻¹ = S[end] ./ S
+        minS = minimum(S)
+        AP ./= minS
+        S⁻¹ = minS ./ S
         X₁ = rmul!(AP * Y₀ᴴ', Diagonal(S⁻¹))
         X₁ .+= X₀
         Y₁ᴴ = lmul!(Diagonal(S⁻¹), X₀' * AP)