diff --git a/cranelift/codegen/src/opts/icmp.isle b/cranelift/codegen/src/opts/icmp.isle
index b726b89acb39..f0db4153042e 100644
--- a/cranelift/codegen/src/opts/icmp.isle
+++ b/cranelift/codegen/src/opts/icmp.isle
@@ -376,3 +376,37 @@
   (simplify (band ty (ult ty x y) (ne ty (iconst_s _ -1) x)))
    (ult ty x y))
 
+;; icmp on select with two constant inputs compared with one of the two
+;; constants can directly use the inner select condition.
+;; See: https://github.com/bytecodealliance/wasmtime/issues/11578
+(rule (simplify (eq _
+  (select select_ty inner_cond
+    (iconst_u _ k1)
+    (iconst_u _ k2))
+  (iconst_u _ k1)))
+  (if-let false (u64_eq k1 k2))
+  (ne select_ty inner_cond (iconst_u select_ty 0)))
+
+(rule (simplify (eq _
+  (select select_ty inner_cond
+    (iconst_u _ k1)
+    (iconst_u _ k2))
+  (iconst_u _ k2)))
+  (if-let false (u64_eq k1 k2))
+  (eq select_ty inner_cond (iconst_u select_ty 0)))
+
+(rule (simplify (ne _
+  (select select_ty inner_cond
+    (iconst_u _ k1)
+    (iconst_u _ k2))
+  (iconst_u _ k1)))
+  (if-let false (u64_eq k1 k2))
+  (eq select_ty inner_cond (iconst_u select_ty 0)))
+
+(rule (simplify (ne _
+  (select select_ty inner_cond
+    (iconst_u _ k1)
+    (iconst_u _ k2))
+  (iconst_u _ k2)))
+  (if-let false (u64_eq k1 k2))
+  (ne select_ty inner_cond (iconst_u select_ty 0)))
diff --git a/cranelift/filetests/filetests/egraph/issue-11578-opt.clif b/cranelift/filetests/filetests/egraph/issue-11578-opt.clif
new file mode 100644
index 000000000000..0d59c41048aa
--- /dev/null
+++ b/cranelift/filetests/filetests/egraph/issue-11578-opt.clif
@@ -0,0 +1,127 @@
+test optimize
+set opt_level=speed
+target x86_64
+target aarch64
+
+function %eq_k1(i64) -> i8 {
+block0(v2: i64):
+    v14 = iconst.i64 -562949953421310
+    v3 = band v2, v14
+    v16 = iconst.i64 0
+    v4 = icmp eq v3, v16
+    v5 = iconst.i64 6
+    v6 = iconst.i64 7
+    v7 = select v4, v5, v6
+    v8 = icmp eq v7, v5
+    return v8
+}
+
+; check:  function %eq_k1(i64) -> i8 fast {
+; check:  block0(v2: i64):
+; nextln:      v14 = iconst.i64 -562949953421310
+; nextln:      v3 = band v2, v14
+; nextln:      v16 = iconst.i64 0
+; nextln:      v4 = icmp eq v3, v16
+; nextln:      return v4
+; nextln: }
+
+function %eq_k2(i64) -> i8 {
+block0(v2: i64):
+    v14 = iconst.i64 -562949953421310
+    v3 = band v2, v14
+    v16 = iconst.i64 0
+    v4 = icmp eq v3, v16
+    v5 = iconst.i64 6
+    v6 = iconst.i64 7
+    v7 = select v4, v5, v6
+    v8 = icmp eq v7, v6
+    return v8
+}
+
+; check: function %eq_k2(i64) -> i8 fast {
+; check: block0(v2: i64):
+; nextln:     v14 = iconst.i64 -562949953421310
+; nextln:     v3 = band v2, v14  ; v14 = -562949953421310
+; nextln:     v16 = iconst.i64 0
+; nextln:     v18 = icmp ne v3, v16  ; v16 = 0
+; nextln:     return v18
+; nextln: }
+
+function %ne_k1(i64) -> i8 {
+block0(v2: i64):
+    v14 = iconst.i64 -562949953421310
+    v3 = band v2, v14
+    v16 = iconst.i64 0
+    v4 = icmp eq v3, v16
+    v5 = iconst.i64 6
+    v6 = iconst.i64 7
+    v7 = select v4, v5, v6
+    v8 = icmp ne v7, v5
+    return v8
+}
+
+; check: function %ne_k1(i64) -> i8 fast {
+; check: block0(v2: i64):
+; nextln:     v14 = iconst.i64 -562949953421310
+; nextln:     v3 = band v2, v14  ; v14 = -562949953421310
+; nextln:     v16 = iconst.i64 0
+; nextln:     v18 = icmp ne v3, v16  ; v16 = 0
+; nextln:     return v18
+; nextln: }
+
+function %ne_k2(i64) -> i8 {
+block0(v2: i64):
+    v14 = iconst.i64 -562949953421310
+    v3 = band v2, v14
+    v16 = iconst.i64 0
+    v4 = icmp eq v3, v16
+    v5 = iconst.i64 6
+    v6 = iconst.i64 7
+    v7 = select v4, v5, v6
+    v8 = icmp ne v7, v6
+    return v8
+}
+
+; check:  function %ne_k2(i64) -> i8 fast {
+; check:  block0(v2: i64):
+; nextln:      v14 = iconst.i64 -562949953421310
+; nextln:      v3 = band v2, v14
+; nextln:      v16 = iconst.i64 0
+; nextln:      v4 = icmp eq v3, v16
+; nextln:      return v4
+; nextln: }
+
+; select x, k1, k1 should be constant propagated
+function %constant_propagated(i64) -> i8 {
+block0(v2: i64):
+    v14 = iconst.i64 -562949953421310
+    v3 = band v2, v14
+    v16 = iconst.i64 0
+    v4 = icmp eq v3, v16
+    v5 = iconst.i64 6
+    v6 = select v4, v5, v5
+    v7 = icmp eq v6, v5
+    return v7
+}
+
+; check:  function %constant_propagated(i64) -> i8 fast {
+; check:  block0(v2: i64):
+; nextln:     v17 = iconst.i8 1
+; nextln:     return v17
+; nextln: }
+
+function %a(i64) -> i8 {
+block0(v0: i64):
+    v1 = iconst.i64 6
+    v3 = iconst.i64 7
+    v4 = select v0, v1, v3
+    v5 = icmp eq v4, v1
+    return v5
+}
+
+; check: function %a(i64) -> i8 fast {
+; check: block0(v0: i64):
+; nextln:     v6 = iconst.i64 0
+; nextln:     v7 = icmp ne v0, v6  ; v6 = 0
+; nextln:     return v7
+; nextln: }
diff --git a/cranelift/filetests/filetests/egraph/issue-11578-semantics.clif b/cranelift/filetests/filetests/egraph/issue-11578-semantics.clif
new file mode 100644
index 000000000000..7aa5ec4e8be8
--- /dev/null
+++ b/cranelift/filetests/filetests/egraph/issue-11578-semantics.clif
@@ -0,0 +1,96 @@
+test interpret
+test run
+set opt_level=none
+target x86_64
+target aarch64
+set opt_level=speed
+target x86_64
+target aarch64
+
+function %eq_k1(i64) -> i8 {
+block0(v2: i64):
+    v14 = iconst.i64 -562949953421310
+    v3 = band v2, v14
+    v16 = iconst.i64 0
+    v4 = icmp eq v3, v16
+    v5 = iconst.i64 6
+    v6 = iconst.i64 7
+    v7 = select v4, v5, v6
+    v8 = icmp eq v7, v5
+    return v8
+}
+
+; run: %eq_k1(0) == 1
+
+function %eq_k2(i64) -> i8 {
+block0(v2: i64):
+    v14 = iconst.i64 -562949953421310
+    v3 = band v2, v14
+    v16 = iconst.i64 0
+    v4 = icmp eq v3, v16
+    v5 = iconst.i64 6
+    v6 = iconst.i64 7
+    v7 = select v4, v5, v6
+    v8 = icmp eq v7, v6
+    return v8
+}
+
+; run: %eq_k2(0) == 0
+
+function %ne_k1(i64) -> i8 {
+block0(v2: i64):
+    v14 = iconst.i64 -562949953421310
+    v3 = band v2, v14
+    v16 = iconst.i64 0
+    v4 = icmp eq v3, v16
+    v5 = iconst.i64 6
+    v6 = iconst.i64 7
+    v7 = select v4, v5, v6
+    v8 = icmp ne v7, v5
+    return v8
+}
+
+; run: %ne_k1(0) == 0
+
+function %ne_k2(i64) -> i8 {
+block0(v2: i64):
+    v14 = iconst.i64 -562949953421310
+    v3 = band v2, v14
+    v16 = iconst.i64 0
+    v4 = icmp eq v3, v16
+    v5 = iconst.i64 6
+    v6 = iconst.i64 7
+    v7 = select v4, v5, v6
+    v8 = icmp ne v7, v6
+    return v8
+}
+
+; run: %ne_k2(0) == 1
+
+; select x, k1, k1 should be constant propagated
+function %constant_propagated(i64) -> i8 {
+block0(v2: i64):
+    v14 = iconst.i64 -562949953421310
+    v3 = band v2, v14
+    v16 = iconst.i64 0
+    v4 = icmp eq v3, v16
+    v5 = iconst.i64 6
+    v6 = select v4, v5, v5
+    v7 = icmp eq v6, v5
+    return v7
+}
+
+; run: %constant_propagated(0) == 1
+
+function %non_icmp_inner(i64) -> i8 {
+block0(v0: i64):
+    v1 = iconst.i64 6
+    v3 = iconst.i64 7
+    v4 = select v0, v1, v3
+    v5 = icmp eq v4, v1
+    return v5
+}
+
+; run: %non_icmp_inner(0) == 0
+; run: %non_icmp_inner(1) == 1
+; run: %non_icmp_inner(5) == 1