diff --git a/src/IceTargetLoweringX8632.cpp b/src/IceTargetLoweringX8632.cpp
index 1e51047..dbfe60f 100644
--- a/src/IceTargetLoweringX8632.cpp
+++ b/src/IceTargetLoweringX8632.cpp
@@ -1281,6 +1281,8 @@
       _mov(T, Arg);
       _push(T);
     } else {
+      // Otherwise PNaCl requires parameter types to be at least 32-bits.
+      assert(Arg->getType() == IceType_f32 || Arg->getType() == IceType_i32);
       _push(Arg);
     }
     StackOffset += typeWidthInBytesOnStack(Arg->getType());
diff --git a/tests_lit/llvm2ice_tests/bool-opt.ll b/tests_lit/llvm2ice_tests/bool-opt.ll
index 1ccdeb6..40cc44b 100644
--- a/tests_lit/llvm2ice_tests/bool-opt.ll
+++ b/tests_lit/llvm2ice_tests/bool-opt.ll
@@ -9,11 +9,12 @@
 define void @testBool(i32 %a, i32 %b) {
 entry:
   %cmp = icmp eq i32 %a, %b
-  tail call void @use(i1 %cmp)
+  %cmp_ext = zext i1 %cmp to i32
+  tail call void @use(i32 %cmp_ext)
   ret void
 }
 
-declare void @use(i1 zeroext) #1
+declare void @use(i32)
 
 ; CHECK-NOT: ICE translation error
 ; ERRORS-NOT: ICE translation error
diff --git a/tests_lit/llvm2ice_tests/cmp-opt.ll b/tests_lit/llvm2ice_tests/cmp-opt.ll
index 342dfac..de3c18a 100644
--- a/tests_lit/llvm2ice_tests/cmp-opt.ll
+++ b/tests_lit/llvm2ice_tests/cmp-opt.ll
@@ -14,21 +14,23 @@
   br i1 %cmp, label %if.then, label %if.end
 
 if.then:                                          ; preds = %entry
-  tail call void @use(i1 %cmp)
+  %cmp_ext = zext i1 %cmp to i32
+  tail call void @use(i32 %cmp_ext)
   br label %if.end
 
 if.end:                                           ; preds = %if.then, %entry
   br i1 %cmp1, label %if.then5, label %if.end7
 
 if.then5:                                         ; preds = %if.end
-  tail call void @use(i1 %cmp1)
+  %cmp1_ext = zext i1 %cmp1 to i32
+  tail call void @use(i32 %cmp1_ext)
   br label %if.end7
 
 if.end7:                                          ; preds = %if.then5, %if.end
   ret void
 }
 
-declare void @use(i1 zeroext)
+declare void @use(i32)
 
 ; CHECK:      .globl testBool
 ; Two bool computations
diff --git a/tests_lit/llvm2ice_tests/fp.pnacl.ll b/tests_lit/llvm2ice_tests/fp.pnacl.ll
index f8b7228..e73908e 100644
--- a/tests_lit/llvm2ice_tests/fp.pnacl.ll
+++ b/tests_lit/llvm2ice_tests/fp.pnacl.ll
@@ -59,6 +59,18 @@
 ; CHECK: push 123
 ; CHECK: call ignoreFpArgsNoInline
 
+define internal i32 @passFp32ConstArg(float %a) {
+entry:
+  %call = call i32 @ignoreFp32ArgsNoInline(float %a, i32 123, float 2.0)
+  ret i32 %call
+}
+; CHECK: passFp32ConstArg:
+; CHECK: push dword
+; CHECK: push 123
+; CHECK: call ignoreFp32ArgsNoInline
+
+declare i32 @ignoreFp32ArgsNoInline(float, i32, float)
+
 define internal float @returnFloatArg(float %a) {
 entry:
   ret float %a