diff --git a/.github/workflows/Tests.yml b/.github/workflows/Tests.yml
index a09aa2f..d6f622d 100644
--- a/.github/workflows/Tests.yml
+++ b/.github/workflows/Tests.yml
@@ -22,12 +22,3 @@ jobs:
   tests:
     uses: "SciML/.github/.github/workflows/grouped-tests.yml@v1"
     secrets: "inherit"
-  tests-32bit:
-    name: "Core (julia 1, ubuntu-latest, x86)"
-    uses: "SciML/.github/.github/workflows/tests.yml@v1"
-    with:
-      julia-version: "1"
-      julia-arch: "x86"
-      group: "Core"
-      coverage: false
-    secrets: "inherit"
diff --git a/Project.toml b/Project.toml
index 503e897..acc1fb4 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,6 +1,6 @@
 name = "FindFirstFunctions"
 uuid = "64ca27bc-2ba2-4a57-88aa-44e436879224"
-version = "3.0.3"
+version = "3.1.0"
 authors = ["Chris Elrod <elrodc@gmail.com> and contributors"]
 
 [deps]
@@ -9,7 +9,7 @@ PrecompileTools = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
 [compat]
 PrecompileTools = "1.0.1"
 SafeTestsets = "0.1"
-SciMLTesting = "1"
+SciMLTesting = "2.2"
 StableRNGs = "1"
 Test = "1.10"
 julia = "1.10"
diff --git a/src/equality.jl b/src/equality.jl
index 89099dc..a178a6a 100644
--- a/src/equality.jl
+++ b/src/equality.jl
@@ -36,7 +36,10 @@ Find the index of the first occurrence of `var` in the sorted vector
 `DenseVector{Int64}` via a branchless binary bisection down to a small
 basecase, followed by the same SIMD equality scan that backs
 [`findfirstequal`](@ref) — faster than plain `findfirst(==(var), vars)`
-or `searchsortedfirst` + post-check for typical Int64 vectors.
+or `searchsortedfirst` + post-check for typical Int64 vectors. Every
+other element-type and array-storage combination (including native `Int`
+on 32-bit platforms, where `Int` is not `Int64`) falls back to a generic
+`searchsortedfirst` + equality post-check.
 
 The strategy-framework equivalent is
 [`findequal(BisectThenSIMD(), vars, var)`](@ref findequal); that wrapper
@@ -45,6 +48,10 @@ which is type-stable and composes with the rest of the strategy
 dispatch. Prefer `findequal` for new code; `findfirstsortedequal` remains
 as the dedicated `Union{Int64, Nothing}`-returning name.
 """
+function findfirstsortedequal(var, vars)
+    i = searchsortedfirst(vars, var)
+    return (i <= lastindex(vars) && isequal(@inbounds(vars[i]), var)) ? i : nothing
+end
 function findfirstsortedequal(
         var::Int64,
         vars::DenseVector{Int64},
diff --git a/test/core_tests.jl b/test/core_tests.jl
index 702a2b1..3366964 100644
--- a/test/core_tests.jl
+++ b/test/core_tests.jl
@@ -1377,3 +1377,24 @@ end
         end
     end
 end
+
+@safetestset "findfirstsortedequal generic fallback" begin
+    using FindFirstFunctions, StableRNGs
+    F = FindFirstFunctions
+
+    # The `(Int64, DenseVector{Int64})` method is the SIMD fast path; every
+    # other type (e.g. `Int32`, which is the native `Int` on 32-bit platforms)
+    # takes the generic searchsortedfirst fallback. Exercise it explicitly here
+    # so both paths are covered regardless of the host word size.
+    rng = StableRNG(2029)
+    for T in (Int32, Int16, Float32), _ in 1:500
+        n = rand(rng, 0:64)
+        v = sort!(rand(rng, T(-40):T(40), n))
+        for i in eachindex(v)
+            @test F.findfirstsortedequal(v[i], v) == searchsortedfirst(v, v[i])
+        end
+        x = rand(rng, T(-50):T(50))
+        ref = insorted(x, v) ? searchsortedfirst(v, x) : nothing
+        @test F.findfirstsortedequal(x, v) == ref
+    end
+end
diff --git a/test/test_groups.toml b/test/test_groups.toml
index 238e907..09a4f24 100644
--- a/test/test_groups.toml
+++ b/test/test_groups.toml
@@ -6,5 +6,15 @@
 versions = ["1", "lts", "pre"]
 os = ["ubuntu-latest", "macos-latest", "windows-latest"]
 
+# 32-bit lane: a matrix-only alias that dispatches the Core body (GROUP=Core) on
+# a single x86 Julia, so the WORD_SIZE != 64 scalar fallbacks in src/simd_ir.jl
+# are exercised in CI. The `arch = "x86"` cell needs SciML/.github v1's i386-libs
+# step (setup-julia) and the alias skip in SciMLTesting >= 2.2 (folder discovery).
+["Core 32-bit"]
+group = "Core"
+versions = ["1"]
+os = ["ubuntu-latest"]
+arch = "x86"
+
 [QA]
 versions = ["lts", "1"]