diff --git a/src/compiler/nir/nir_range_analysis.c b/src/compiler/nir/nir_range_analysis.c
index 94859979276..089b8949609 100644
--- a/src/compiler/nir/nir_range_analysis.c
+++ b/src/compiler/nir/nir_range_analysis.c
@@ -1850,9 +1850,17 @@ get_alu_uub(struct analysis_state *state, struct uub_query q, uint32_t *result,
    case nir_op_umax:
       *result = src[0] > src[1] ? src[0] : src[1];
       break;
-   case nir_op_iand:
-      *result = bitmask(util_last_bit64(src[0])) & bitmask(util_last_bit64(src[1]));
+   case nir_op_iand: {
+      nir_scalar src0_scalar = nir_scalar_chase_alu_src(q.scalar, 0);
+      nir_scalar src1_scalar = nir_scalar_chase_alu_src(q.scalar, 1);
+      if (nir_scalar_is_const(src0_scalar))
+         *result = bitmask(util_last_bit64(src[1])) & nir_scalar_as_uint(src0_scalar);
+      else if (nir_scalar_is_const(src1_scalar))
+         *result = bitmask(util_last_bit64(src[0])) & nir_scalar_as_uint(src1_scalar);
+      else
+         *result = bitmask(util_last_bit64(src[0])) & bitmask(util_last_bit64(src[1]));
       break;
+   }
    case nir_op_ior:
    case nir_op_ixor:
       *result = bitmask(util_last_bit64(src[0])) | bitmask(util_last_bit64(src[1]));